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Finding the Fourth Proportional to 415,906.85, 623,860.35 and 100,363.76

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Solution

The fourth proportional to 415,906.85, 623,860.35 and 100,363.76 is: 150,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,906.85 : 623,860.35 = 100,363.76 : x
  2. Step 2: Convert to fraction form
    415,906.85/623,860.35 = 100,363.76/x
  3. Step 3: Cross multiply
    415,906.85x = 623,860.35 × 100,363.76
  4. Step 4: Simplify right side
    415,906.85x = 62,612,970,440.92
  5. Step 5: Solve for x
    x = 62,612,970,440.92/415,906.85
  6. Step 6: Final answer
    x = 150,545.66

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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.