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Finding the Fourth Proportional to 388,281.92, 582,227.98 and 226,228.42

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Solution

The fourth proportional to 388,281.92, 582,227.98 and 226,228.42 is: 339,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,281.92 : 582,227.98 = 226,228.42 : x
  2. Step 2: Convert to fraction form
    388,281.92/582,227.98 = 226,228.42/x
  3. Step 3: Cross multiply
    388,281.92x = 582,227.98 × 226,228.42
  4. Step 4: Simplify right side
    388,281.92x = 131,716,516,793.67
  5. Step 5: Solve for x
    x = 131,716,516,793.67/388,281.92
  6. Step 6: Final answer
    x = 339,229.08

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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.