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Finding the Fourth Proportional to 398,560.64, 597,710.95 and 132,249.65

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Solution

The fourth proportional to 398,560.64, 597,710.95 and 132,249.65 is: 198,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,560.64 : 597,710.95 = 132,249.65 : x
  2. Step 2: Convert to fraction form
    398,560.64/597,710.95 = 132,249.65/x
  3. Step 3: Cross multiply
    398,560.64x = 597,710.95 × 132,249.65
  4. Step 4: Simplify right side
    398,560.64x = 79,047,060,288.86
  5. Step 5: Solve for x
    x = 79,047,060,288.86/398,560.64
  6. Step 6: Final answer
    x = 198,331.33

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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.