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Finding the Fourth Proportional to 492,269.64, 738,420.64 and 137,253.64

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Solution

The fourth proportional to 492,269.64, 738,420.64 and 137,253.64 is: 205,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,269.64 : 738,420.64 = 137,253.64 : x
  2. Step 2: Convert to fraction form
    492,269.64/738,420.64 = 137,253.64/x
  3. Step 3: Cross multiply
    492,269.64x = 738,420.64 × 137,253.64
  4. Step 4: Simplify right side
    492,269.64x = 101,350,920,691.13
  5. Step 5: Solve for x
    x = 101,350,920,691.13/492,269.64
  6. Step 6: Final answer
    x = 205,884.97

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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.