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Finding the Fourth Proportional to 486,952.80, 729,932.40 and 329,197.20

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Solution

The fourth proportional to 486,952.80, 729,932.40 and 329,197.20 is: 493,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,952.80 : 729,932.40 = 329,197.20 : x
  2. Step 2: Convert to fraction form
    486,952.80/729,932.40 = 329,197.20/x
  3. Step 3: Cross multiply
    486,952.80x = 729,932.40 × 329,197.20
  4. Step 4: Simplify right side
    486,952.80x = 240,291,702,269.28
  5. Step 5: Solve for x
    x = 240,291,702,269.28/486,952.80
  6. Step 6: Final answer
    x = 493,459.95

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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.