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Finding the Fourth Proportional to 398,881.96, 598,147.50 and 149,389

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Solution

The fourth proportional to 398,881.96, 598,147.50 and 149,389 is: 224,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,881.96 : 598,147.50 = 149,389 : x
  2. Step 2: Convert to fraction form
    398,881.96/598,147.50 = 149,389/x
  3. Step 3: Cross multiply
    398,881.96x = 598,147.50 × 149,389
  4. Step 4: Simplify right side
    398,881.96x = 89,356,656,877.50
  5. Step 5: Solve for x
    x = 89,356,656,877.50/398,881.96
  6. Step 6: Final answer
    x = 224,017.79

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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.