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Finding the Fourth Proportional to 485,309.20, 727,985.40 and 165,456.40

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Solution

The fourth proportional to 485,309.20, 727,985.40 and 165,456.40 is: 248,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,309.20 : 727,985.40 = 165,456.40 : x
  2. Step 2: Convert to fraction form
    485,309.20/727,985.40 = 165,456.40/x
  3. Step 3: Cross multiply
    485,309.20x = 727,985.40 × 165,456.40
  4. Step 4: Simplify right side
    485,309.20x = 120,449,843,536.56
  5. Step 5: Solve for x
    x = 120,449,843,536.56/485,309.20
  6. Step 6: Final answer
    x = 248,191.96

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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.