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Finding the Fourth Proportional to 521,007.30, 780,344.55 and 402,293.70

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Solution

The fourth proportional to 521,007.30, 780,344.55 and 402,293.70 is: 602,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,007.30 : 780,344.55 = 402,293.70 : x
  2. Step 2: Convert to fraction form
    521,007.30/780,344.55 = 402,293.70/x
  3. Step 3: Cross multiply
    521,007.30x = 780,344.55 × 402,293.70
  4. Step 4: Simplify right side
    521,007.30x = 313,927,696,294.34
  5. Step 5: Solve for x
    x = 313,927,696,294.34/521,007.30
  6. Step 6: Final answer
    x = 602,539.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.