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Finding the Fourth Proportional to 437,380.70, 655,972.64 and 156,897.95

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Solution

The fourth proportional to 437,380.70, 655,972.64 and 156,897.95 is: 235,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,380.70 : 655,972.64 = 156,897.95 : x
  2. Step 2: Convert to fraction form
    437,380.70/655,972.64 = 156,897.95/x
  3. Step 3: Cross multiply
    437,380.70x = 655,972.64 × 156,897.95
  4. Step 4: Simplify right side
    437,380.70x = 102,920,762,472.09
  5. Step 5: Solve for x
    x = 102,920,762,472.09/437,380.70
  6. Step 6: Final answer
    x = 235,311.62

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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.