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Finding the Fourth Proportional to 485,077.44, 727,616.20 and 185,649.86

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Solution

The fourth proportional to 485,077.44, 727,616.20 and 185,649.86 is: 278,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,077.44 : 727,616.20 = 185,649.86 : x
  2. Step 2: Convert to fraction form
    485,077.44/727,616.20 = 185,649.86/x
  3. Step 3: Cross multiply
    485,077.44x = 727,616.20 × 185,649.86
  4. Step 4: Simplify right side
    485,077.44x = 135,081,845,663.73
  5. Step 5: Solve for x
    x = 135,081,845,663.73/485,077.44
  6. Step 6: Final answer
    x = 278,474.81

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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.