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Finding the Fourth Proportional to 498,306.25, 747,578.45 and 161,347.30

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Solution

The fourth proportional to 498,306.25, 747,578.45 and 161,347.30 is: 242,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,306.25 : 747,578.45 = 161,347.30 : x
  2. Step 2: Convert to fraction form
    498,306.25/747,578.45 = 161,347.30/x
  3. Step 3: Cross multiply
    498,306.25x = 747,578.45 × 161,347.30
  4. Step 4: Simplify right side
    498,306.25x = 120,619,761,770.00
  5. Step 5: Solve for x
    x = 120,619,761,770.00/498,306.25
  6. Step 6: Final answer
    x = 242,059.50

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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.