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Finding the Fourth Proportional to 685,009.72, 945,693.44 and 413,146.16

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Solution

The fourth proportional to 685,009.72, 945,693.44 and 413,146.16 is: 570,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,009.72 : 945,693.44 = 413,146.16 : x
  2. Step 2: Convert to fraction form
    685,009.72/945,693.44 = 413,146.16/x
  3. Step 3: Cross multiply
    685,009.72x = 945,693.44 × 413,146.16
  4. Step 4: Simplify right side
    685,009.72x = 390,709,613,273.19
  5. Step 5: Solve for x
    x = 390,709,613,273.19/685,009.72
  6. Step 6: Final answer
    x = 570,370.90

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Double scale
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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.