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Finding the Fourth Proportional to 719,685.40, 992,807.13 and 429,092.02

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Solution

The fourth proportional to 719,685.40, 992,807.13 and 429,092.02 is: 591,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,685.40 : 992,807.13 = 429,092.02 : x
  2. Step 2: Convert to fraction form
    719,685.40/992,807.13 = 429,092.02/x
  3. Step 3: Cross multiply
    719,685.40x = 992,807.13 × 429,092.02
  4. Step 4: Simplify right side
    719,685.40x = 426,005,616,882.10
  5. Step 5: Solve for x
    x = 426,005,616,882.10/719,685.40
  6. Step 6: Final answer
    x = 591,933.11

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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.