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Finding the Fourth Proportional to 485,108.60, 727,646.49 and 148,135.64

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Solution

The fourth proportional to 485,108.60, 727,646.49 and 148,135.64 is: 222,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,108.60 : 727,646.49 = 148,135.64 : x
  2. Step 2: Convert to fraction form
    485,108.60/727,646.49 = 148,135.64/x
  3. Step 3: Cross multiply
    485,108.60x = 727,646.49 × 148,135.64
  4. Step 4: Simplify right side
    485,108.60x = 107,790,374,851.67
  5. Step 5: Solve for x
    x = 107,790,374,851.67/485,108.60
  6. Step 6: Final answer
    x = 222,198.44

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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.