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Finding the Fourth Proportional to 485,409.70, 728,114.55 and 272,833.30

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Solution

The fourth proportional to 485,409.70, 728,114.55 and 272,833.30 is: 409,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,409.70 : 728,114.55 = 272,833.30 : x
  2. Step 2: Convert to fraction form
    485,409.70/728,114.55 = 272,833.30/x
  3. Step 3: Cross multiply
    485,409.70x = 728,114.55 × 272,833.30
  4. Step 4: Simplify right side
    485,409.70x = 198,653,895,454.52
  5. Step 5: Solve for x
    x = 198,653,895,454.52/485,409.70
  6. Step 6: Final answer
    x = 409,249.95

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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.