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Finding the Fourth Proportional to 539,077.97, 807,929.96 and 286,479.47

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Solution

The fourth proportional to 539,077.97, 807,929.96 and 286,479.47 is: 429,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,077.97 : 807,929.96 = 286,479.47 : x
  2. Step 2: Convert to fraction form
    539,077.97/807,929.96 = 286,479.47/x
  3. Step 3: Cross multiply
    539,077.97x = 807,929.96 × 286,479.47
  4. Step 4: Simplify right side
    539,077.97x = 231,455,346,737.92
  5. Step 5: Solve for x
    x = 231,455,346,737.92/539,077.97
  6. Step 6: Final answer
    x = 429,354.12

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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.