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Finding the Fourth Proportional to 408,740.82, 613,153.05 and 156,233.85

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Solution

The fourth proportional to 408,740.82, 613,153.05 and 156,233.85 is: 234,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,740.82 : 613,153.05 = 156,233.85 : x
  2. Step 2: Convert to fraction form
    408,740.82/613,153.05 = 156,233.85/x
  3. Step 3: Cross multiply
    408,740.82x = 613,153.05 × 156,233.85
  4. Step 4: Simplify right side
    408,740.82x = 95,795,261,640.74
  5. Step 5: Solve for x
    x = 95,795,261,640.74/408,740.82
  6. Step 6: Final answer
    x = 234,366.76

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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.