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Finding the Fourth Proportional to 492,261.66, 738,517.01 and 137,275.71

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Solution

The fourth proportional to 492,261.66, 738,517.01 and 137,275.71 is: 205,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,261.66 : 738,517.01 = 137,275.71 : x
  2. Step 2: Convert to fraction form
    492,261.66/738,517.01 = 137,275.71/x
  3. Step 3: Cross multiply
    492,261.66x = 738,517.01 × 137,275.71
  4. Step 4: Simplify right side
    492,261.66x = 101,380,446,894.83
  5. Step 5: Solve for x
    x = 101,380,446,894.83/492,261.66
  6. Step 6: Final answer
    x = 205,948.29

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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.