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Finding the Fourth Proportional to 486,538.80, 729,698.85 and 319,233.30

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Solution

The fourth proportional to 486,538.80, 729,698.85 and 319,233.30 is: 478,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,538.80 : 729,698.85 = 319,233.30 : x
  2. Step 2: Convert to fraction form
    486,538.80/729,698.85 = 319,233.30/x
  3. Step 3: Cross multiply
    486,538.80x = 729,698.85 × 319,233.30
  4. Step 4: Simplify right side
    486,538.80x = 232,944,171,891.71
  5. Step 5: Solve for x
    x = 232,944,171,891.71/486,538.80
  6. Step 6: Final answer
    x = 478,778.20

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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.