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Finding the Fourth Proportional to 539,408.70, 807,687.45 and 432,294.30

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Solution

The fourth proportional to 539,408.70, 807,687.45 and 432,294.30 is: 647,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,408.70 : 807,687.45 = 432,294.30 : x
  2. Step 2: Convert to fraction form
    539,408.70/807,687.45 = 432,294.30/x
  3. Step 3: Cross multiply
    539,408.70x = 807,687.45 × 432,294.30
  4. Step 4: Simplify right side
    539,408.70x = 349,158,680,816.54
  5. Step 5: Solve for x
    x = 349,158,680,816.54/539,408.70
  6. Step 6: Final answer
    x = 647,298.94

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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.