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Finding the Fourth Proportional to 685,946.76, 946,369.62 and 431,317.32

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Solution

The fourth proportional to 685,946.76, 946,369.62 and 431,317.32 is: 595,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,946.76 : 946,369.62 = 431,317.32 : x
  2. Step 2: Convert to fraction form
    685,946.76/946,369.62 = 431,317.32/x
  3. Step 3: Cross multiply
    685,946.76x = 946,369.62 × 431,317.32
  4. Step 4: Simplify right side
    685,946.76x = 408,185,608,227.82
  5. Step 5: Solve for x
    x = 408,185,608,227.82/685,946.76
  6. Step 6: Final answer
    x = 595,068.94

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.