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Finding the Fourth Proportional to 498,756.38, 748,239.76 and 161,770.86

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Solution

The fourth proportional to 498,756.38, 748,239.76 and 161,770.86 is: 242,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,756.38 : 748,239.76 = 161,770.86 : x
  2. Step 2: Convert to fraction form
    498,756.38/748,239.76 = 161,770.86/x
  3. Step 3: Cross multiply
    498,756.38x = 748,239.76 × 161,770.86
  4. Step 4: Simplify right side
    498,756.38x = 121,043,389,663.61
  5. Step 5: Solve for x
    x = 121,043,389,663.61/498,756.38
  6. Step 6: Final answer
    x = 242,690.41

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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.