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Finding the Fourth Proportional to 492,073.90, 738,110.85 and 137,142.70

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Solution

The fourth proportional to 492,073.90, 738,110.85 and 137,142.70 is: 205,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,073.90 : 738,110.85 = 137,142.70 : x
  2. Step 2: Convert to fraction form
    492,073.90/738,110.85 = 137,142.70/x
  3. Step 3: Cross multiply
    492,073.90x = 738,110.85 × 137,142.70
  4. Step 4: Simplify right side
    492,073.90x = 101,226,514,868.30
  5. Step 5: Solve for x
    x = 101,226,514,868.30/492,073.90
  6. Step 6: Final answer
    x = 205,714.05

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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.