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Finding the Fourth Proportional to 398,838.30, 598,082.31 and 149,345.34

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Solution

The fourth proportional to 398,838.30, 598,082.31 and 149,345.34 is: 223,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,838.30 : 598,082.31 = 149,345.34 : x
  2. Step 2: Convert to fraction form
    398,838.30/598,082.31 = 149,345.34/x
  3. Step 3: Cross multiply
    398,838.30x = 598,082.31 × 149,345.34
  4. Step 4: Simplify right side
    398,838.30x = 89,320,805,934.94
  5. Step 5: Solve for x
    x = 89,320,805,934.94/398,838.30
  6. Step 6: Final answer
    x = 223,952.43

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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.