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Finding the Fourth Proportional to 472,230.61, 708,136.92 and 135,194.47

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Solution

The fourth proportional to 472,230.61, 708,136.92 and 135,194.47 is: 202,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,230.61 : 708,136.92 = 135,194.47 : x
  2. Step 2: Convert to fraction form
    472,230.61/708,136.92 = 135,194.47/x
  3. Step 3: Cross multiply
    472,230.61x = 708,136.92 × 135,194.47
  4. Step 4: Simplify right side
    472,230.61x = 95,736,195,586.83
  5. Step 5: Solve for x
    x = 95,736,195,586.83/472,230.61
  6. Step 6: Final answer
    x = 202,731.87

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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.