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Finding the Fourth Proportional to 492,343.66, 738,640.04 and 137,357.42

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Solution

The fourth proportional to 492,343.66, 738,640.04 and 137,357.42 is: 206,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,343.66 : 738,640.04 = 137,357.42 : x
  2. Step 2: Convert to fraction form
    492,343.66/738,640.04 = 137,357.42/x
  3. Step 3: Cross multiply
    492,343.66x = 738,640.04 × 137,357.42
  4. Step 4: Simplify right side
    492,343.66x = 101,457,690,203.10
  5. Step 5: Solve for x
    x = 101,457,690,203.10/492,343.66
  6. Step 6: Final answer
    x = 206,070.88

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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.