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Finding the Fourth Proportional to 418,648.50, 577,708.20 and 234,876.78

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Solution

The fourth proportional to 418,648.50, 577,708.20 and 234,876.78 is: 324,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,648.50 : 577,708.20 = 234,876.78 : x
  2. Step 2: Convert to fraction form
    418,648.50/577,708.20 = 234,876.78/x
  3. Step 3: Cross multiply
    418,648.50x = 577,708.20 × 234,876.78
  4. Step 4: Simplify right side
    418,648.50x = 135,690,241,795.60
  5. Step 5: Solve for x
    x = 135,690,241,795.60/418,648.50
  6. Step 6: Final answer
    x = 324,114.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.