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Finding the Fourth Proportional to 685,499.76, 945,696.51 and 413,412.93

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Solution

The fourth proportional to 685,499.76, 945,696.51 and 413,412.93 is: 570,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,499.76 : 945,696.51 = 413,412.93 : x
  2. Step 2: Convert to fraction form
    685,499.76/945,696.51 = 413,412.93/x
  3. Step 3: Cross multiply
    685,499.76x = 945,696.51 × 413,412.93
  4. Step 4: Simplify right side
    685,499.76x = 390,963,165,089.87
  5. Step 5: Solve for x
    x = 390,963,165,089.87/685,499.76
  6. Step 6: Final answer
    x = 570,333.04

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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.