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Finding the Fourth Proportional to 485,281.20, 727,943.40 and 165,428.40

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Solution

The fourth proportional to 485,281.20, 727,943.40 and 165,428.40 is: 248,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,281.20 : 727,943.40 = 165,428.40 : x
  2. Step 2: Convert to fraction form
    485,281.20/727,943.40 = 165,428.40/x
  3. Step 3: Cross multiply
    485,281.20x = 727,943.40 × 165,428.40
  4. Step 4: Simplify right side
    485,281.20x = 120,422,511,952.56
  5. Step 5: Solve for x
    x = 120,422,511,952.56/485,281.20
  6. Step 6: Final answer
    x = 248,149.96

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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.