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Finding the Fourth Proportional to 485,142.88, 727,714.32 and 148,169.92

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Solution

The fourth proportional to 485,142.88, 727,714.32 and 148,169.92 is: 222,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,142.88 : 727,714.32 = 148,169.92 : x
  2. Step 2: Convert to fraction form
    485,142.88/727,714.32 = 148,169.92/x
  3. Step 3: Cross multiply
    485,142.88x = 727,714.32 × 148,169.92
  4. Step 4: Simplify right side
    485,142.88x = 107,825,372,577.25
  5. Step 5: Solve for x
    x = 107,825,372,577.25/485,142.88
  6. Step 6: Final answer
    x = 222,254.88

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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.