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Finding the Fourth Proportional to 485,909.64, 728,949.96 and 165,986.28

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Solution

The fourth proportional to 485,909.64, 728,949.96 and 165,986.28 is: 249,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,909.64 : 728,949.96 = 165,986.28 : x
  2. Step 2: Convert to fraction form
    485,909.64/728,949.96 = 165,986.28/x
  3. Step 3: Cross multiply
    485,909.64x = 728,949.96 × 165,986.28
  4. Step 4: Simplify right side
    485,909.64x = 120,995,692,166.55
  5. Step 5: Solve for x
    x = 120,995,692,166.55/485,909.64
  6. Step 6: Final answer
    x = 249,008.63

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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.