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Finding the Fourth Proportional to 398,856.38, 598,283.42 and 99,337.16

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Solution

The fourth proportional to 398,856.38, 598,283.42 and 99,337.16 is: 149,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,856.38 : 598,283.42 = 99,337.16 : x
  2. Step 2: Convert to fraction form
    398,856.38/598,283.42 = 99,337.16/x
  3. Step 3: Cross multiply
    398,856.38x = 598,283.42 × 99,337.16
  4. Step 4: Simplify right side
    398,856.38x = 59,431,776,816.91
  5. Step 5: Solve for x
    x = 59,431,776,816.91/398,856.38
  6. Step 6: Final answer
    x = 149,005.46

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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.