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Finding the Fourth Proportional to 492,965.76, 739,391.52 and 138,008.16

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Solution

The fourth proportional to 492,965.76, 739,391.52 and 138,008.16 is: 206,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,965.76 : 739,391.52 = 138,008.16 : x
  2. Step 2: Convert to fraction form
    492,965.76/739,391.52 = 138,008.16/x
  3. Step 3: Cross multiply
    492,965.76x = 739,391.52 × 138,008.16
  4. Step 4: Simplify right side
    492,965.76x = 102,042,063,194.80
  5. Step 5: Solve for x
    x = 102,042,063,194.80/492,965.76
  6. Step 6: Final answer
    x = 206,996.25

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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.