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Finding the Fourth Proportional to 311,120.98, 466,658.91 and 121,545.76

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Solution

The fourth proportional to 311,120.98, 466,658.91 and 121,545.76 is: 182,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,120.98 : 466,658.91 = 121,545.76 : x
  2. Step 2: Convert to fraction form
    311,120.98/466,658.91 = 121,545.76/x
  3. Step 3: Cross multiply
    311,120.98x = 466,658.91 × 121,545.76
  4. Step 4: Simplify right side
    311,120.98x = 56,720,411,876.72
  5. Step 5: Solve for x
    x = 56,720,411,876.72/311,120.98
  6. Step 6: Final answer
    x = 182,309.83

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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.