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Finding the Fourth Proportional to 435,782.98, 653,712.17 and 120,239.85

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Solution

The fourth proportional to 435,782.98, 653,712.17 and 120,239.85 is: 180,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,782.98 : 653,712.17 = 120,239.85 : x
  2. Step 2: Convert to fraction form
    435,782.98/653,712.17 = 120,239.85/x
  3. Step 3: Cross multiply
    435,782.98x = 653,712.17 × 120,239.85
  4. Step 4: Simplify right side
    435,782.98x = 78,602,253,263.97
  5. Step 5: Solve for x
    x = 78,602,253,263.97/435,782.98
  6. Step 6: Final answer
    x = 180,370.18

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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.