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Finding the Fourth Proportional to 539,624.50, 743,989.53 and 442,470.40

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Solution

The fourth proportional to 539,624.50, 743,989.53 and 442,470.40 is: 610,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,624.50 : 743,989.53 = 442,470.40 : x
  2. Step 2: Convert to fraction form
    539,624.50/743,989.53 = 442,470.40/x
  3. Step 3: Cross multiply
    539,624.50x = 743,989.53 × 442,470.40
  4. Step 4: Simplify right side
    539,624.50x = 329,193,344,934.91
  5. Step 5: Solve for x
    x = 329,193,344,934.91/539,624.50
  6. Step 6: Final answer
    x = 610,041.51

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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.