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Finding the Fourth Proportional to 389,504.80, 584,251.20 and 199,855.76

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Solution

The fourth proportional to 389,504.80, 584,251.20 and 199,855.76 is: 299,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,504.80 : 584,251.20 = 199,855.76 : x
  2. Step 2: Convert to fraction form
    389,504.80/584,251.20 = 199,855.76/x
  3. Step 3: Cross multiply
    389,504.80x = 584,251.20 × 199,855.76
  4. Step 4: Simplify right side
    389,504.80x = 116,765,967,606.91
  5. Step 5: Solve for x
    x = 116,765,967,606.91/389,504.80
  6. Step 6: Final answer
    x = 299,780.56

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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.