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Finding the Fourth Proportional to 487,823.83, 731,735.74 and 321,572.95

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Solution

The fourth proportional to 487,823.83, 731,735.74 and 321,572.95 is: 482,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,823.83 : 731,735.74 = 321,572.95 : x
  2. Step 2: Convert to fraction form
    487,823.83/731,735.74 = 321,572.95/x
  3. Step 3: Cross multiply
    487,823.83x = 731,735.74 × 321,572.95
  4. Step 4: Simplify right side
    487,823.83x = 235,306,419,104.86
  5. Step 5: Solve for x
    x = 235,306,419,104.86/487,823.83
  6. Step 6: Final answer
    x = 482,359.42

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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.