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Finding the Fourth Proportional to 398,216.20, 597,324.30 and 148,865.80

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Solution

The fourth proportional to 398,216.20, 597,324.30 and 148,865.80 is: 223,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,216.20 : 597,324.30 = 148,865.80 : x
  2. Step 2: Convert to fraction form
    398,216.20/597,324.30 = 148,865.80/x
  3. Step 3: Cross multiply
    398,216.20x = 597,324.30 × 148,865.80
  4. Step 4: Simplify right side
    398,216.20x = 88,921,159,778.94
  5. Step 5: Solve for x
    x = 88,921,159,778.94/398,216.20
  6. Step 6: Final answer
    x = 223,298.70

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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.