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Finding the Fourth Proportional to 742,497, 1,024,646.28 and 402,965.16

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Solution

The fourth proportional to 742,497, 1,024,646.28 and 402,965.16 is: 556,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,497 : 1,024,646.28 = 402,965.16 : x
  2. Step 2: Convert to fraction form
    742,497/1,024,646.28 = 402,965.16/x
  3. Step 3: Cross multiply
    742,497x = 1,024,646.28 × 402,965.16
  4. Step 4: Simplify right side
    742,497x = 412,896,752,163.61
  5. Step 5: Solve for x
    x = 412,896,752,163.61/742,497
  6. Step 6: Final answer
    x = 556,092.15

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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.