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Finding the Fourth Proportional to 486,511.20, 728,017.20 and 329,047.20

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Solution

The fourth proportional to 486,511.20, 728,017.20 and 329,047.20 is: 492,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,511.20 : 728,017.20 = 329,047.20 : x
  2. Step 2: Convert to fraction form
    486,511.20/728,017.20 = 329,047.20/x
  3. Step 3: Cross multiply
    486,511.20x = 728,017.20 × 329,047.20
  4. Step 4: Simplify right side
    486,511.20x = 239,552,021,211.84
  5. Step 5: Solve for x
    x = 239,552,021,211.84/486,511.20
  6. Step 6: Final answer
    x = 492,387.47

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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.