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Finding the Fourth Proportional to 485,471.88, 728,129.78 and 204,952.68

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Solution

The fourth proportional to 485,471.88, 728,129.78 and 204,952.68 is: 307,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,471.88 : 728,129.78 = 204,952.68 : x
  2. Step 2: Convert to fraction form
    485,471.88/728,129.78 = 204,952.68/x
  3. Step 3: Cross multiply
    485,471.88x = 728,129.78 × 204,952.68
  4. Step 4: Simplify right side
    485,471.88x = 149,232,149,798.81
  5. Step 5: Solve for x
    x = 149,232,149,798.81/485,471.88
  6. Step 6: Final answer
    x = 307,396.07

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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.