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Finding the Fourth Proportional to 398,502.02, 597,399.10 and 155,286.78

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Solution

The fourth proportional to 398,502.02, 597,399.10 and 155,286.78 is: 232,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,502.02 : 597,399.10 = 155,286.78 : x
  2. Step 2: Convert to fraction form
    398,502.02/597,399.10 = 155,286.78/x
  3. Step 3: Cross multiply
    398,502.02x = 597,399.10 × 155,286.78
  4. Step 4: Simplify right side
    398,502.02x = 92,768,182,613.90
  5. Step 5: Solve for x
    x = 92,768,182,613.90/398,502.02
  6. Step 6: Final answer
    x = 232,792.25

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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.