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Finding the Fourth Proportional to 436,910.90, 655,389.70 and 137,414.83

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Solution

The fourth proportional to 436,910.90, 655,389.70 and 137,414.83 is: 206,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,910.90 : 655,389.70 = 137,414.83 : x
  2. Step 2: Convert to fraction form
    436,910.90/655,389.70 = 137,414.83/x
  3. Step 3: Cross multiply
    436,910.90x = 655,389.70 × 137,414.83
  4. Step 4: Simplify right side
    436,910.90x = 90,060,264,209.25
  5. Step 5: Solve for x
    x = 90,060,264,209.25/436,910.90
  6. Step 6: Final answer
    x = 206,129.59

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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.