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Finding the Fourth Proportional to 485,218.10, 728,045.85 and 232,400.90

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Solution

The fourth proportional to 485,218.10, 728,045.85 and 232,400.90 is: 348,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,218.10 : 728,045.85 = 232,400.90 : x
  2. Step 2: Convert to fraction form
    485,218.10/728,045.85 = 232,400.90/x
  3. Step 3: Cross multiply
    485,218.10x = 728,045.85 × 232,400.90
  4. Step 4: Simplify right side
    485,218.10x = 169,198,510,781.27
  5. Step 5: Solve for x
    x = 169,198,510,781.27/485,218.10
  6. Step 6: Final answer
    x = 348,706.10

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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.