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Finding the Fourth Proportional to 218,770.40, 328,285.20 and 159,456.80

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Solution

The fourth proportional to 218,770.40, 328,285.20 and 159,456.80 is: 239,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,770.40 : 328,285.20 = 159,456.80 : x
  2. Step 2: Convert to fraction form
    218,770.40/328,285.20 = 159,456.80/x
  3. Step 3: Cross multiply
    218,770.40x = 328,285.20 × 159,456.80
  4. Step 4: Simplify right side
    218,770.40x = 52,347,307,479.36
  5. Step 5: Solve for x
    x = 52,347,307,479.36/218,770.40
  6. Step 6: Final answer
    x = 239,279.66

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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.