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Finding the Fourth Proportional to 398,871.48, 598,131.90 and 149,378.52

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Solution

The fourth proportional to 398,871.48, 598,131.90 and 149,378.52 is: 224,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,871.48 : 598,131.90 = 149,378.52 : x
  2. Step 2: Convert to fraction form
    398,871.48/598,131.90 = 149,378.52/x
  3. Step 3: Cross multiply
    398,871.48x = 598,131.90 × 149,378.52
  4. Step 4: Simplify right side
    398,871.48x = 89,348,057,986.79
  5. Step 5: Solve for x
    x = 89,348,057,986.79/398,871.48
  6. Step 6: Final answer
    x = 224,002.12

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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.