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Finding the Fourth Proportional to 485,577.86, 728,358.15 and 185,977.22

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Solution

The fourth proportional to 485,577.86, 728,358.15 and 185,977.22 is: 278,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,577.86 : 728,358.15 = 185,977.22 : x
  2. Step 2: Convert to fraction form
    485,577.86/728,358.15 = 185,977.22/x
  3. Step 3: Cross multiply
    485,577.86x = 728,358.15 × 185,977.22
  4. Step 4: Simplify right side
    485,577.86x = 135,458,023,901.34
  5. Step 5: Solve for x
    x = 135,458,023,901.34/485,577.86
  6. Step 6: Final answer
    x = 278,962.52

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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.