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Finding the Fourth Proportional to 539,625.50, 743,990.91 and 442,471.40

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Solution

The fourth proportional to 539,625.50, 743,990.91 and 442,471.40 is: 610,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,625.50 : 743,990.91 = 442,471.40 : x
  2. Step 2: Convert to fraction form
    539,625.50/743,990.91 = 442,471.40/x
  3. Step 3: Cross multiply
    539,625.50x = 743,990.91 × 442,471.40
  4. Step 4: Simplify right side
    539,625.50x = 329,194,699,534.97
  5. Step 5: Solve for x
    x = 329,194,699,534.97/539,625.50
  6. Step 6: Final answer
    x = 610,042.89

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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.