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Finding the Fourth Proportional to 485,456.64, 728,068 and 148,500.08

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Solution

The fourth proportional to 485,456.64, 728,068 and 148,500.08 is: 222,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,456.64 : 728,068 = 148,500.08 : x
  2. Step 2: Convert to fraction form
    485,456.64/728,068 = 148,500.08/x
  3. Step 3: Cross multiply
    485,456.64x = 728,068 × 148,500.08
  4. Step 4: Simplify right side
    485,456.64x = 108,118,156,245.44
  5. Step 5: Solve for x
    x = 108,118,156,245.44/485,456.64
  6. Step 6: Final answer
    x = 222,714.34

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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.