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Finding the Fourth Proportional to 398,776.89, 598,162.25 and 99,255.47

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Solution

The fourth proportional to 398,776.89, 598,162.25 and 99,255.47 is: 148,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,776.89 : 598,162.25 = 99,255.47 : x
  2. Step 2: Convert to fraction form
    398,776.89/598,162.25 = 99,255.47/x
  3. Step 3: Cross multiply
    398,776.89x = 598,162.25 × 99,255.47
  4. Step 4: Simplify right side
    398,776.89x = 59,370,871,772.92
  5. Step 5: Solve for x
    x = 59,370,871,772.92/398,776.89
  6. Step 6: Final answer
    x = 148,882.43

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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.