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Finding the Fourth Proportional to 389,530.80, 584,123.40 and 179,233.20

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Solution

The fourth proportional to 389,530.80, 584,123.40 and 179,233.20 is: 268,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,530.80 : 584,123.40 = 179,233.20 : x
  2. Step 2: Convert to fraction form
    389,530.80/584,123.40 = 179,233.20/x
  3. Step 3: Cross multiply
    389,530.80x = 584,123.40 × 179,233.20
  4. Step 4: Simplify right side
    389,530.80x = 104,694,306,176.88
  5. Step 5: Solve for x
    x = 104,694,306,176.88/389,530.80
  6. Step 6: Final answer
    x = 268,770.29

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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.