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Finding the Fourth Proportional to 398,151.55, 597,232.79 and 264,074.78

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Solution

The fourth proportional to 398,151.55, 597,232.79 and 264,074.78 is: 396,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,151.55 : 597,232.79 = 264,074.78 : x
  2. Step 2: Convert to fraction form
    398,151.55/597,232.79 = 264,074.78/x
  3. Step 3: Cross multiply
    398,151.55x = 597,232.79 × 264,074.78
  4. Step 4: Simplify right side
    398,151.55x = 157,714,120,276.45
  5. Step 5: Solve for x
    x = 157,714,120,276.45/398,151.55
  6. Step 6: Final answer
    x = 396,115.80

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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.