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Finding the Fourth Proportional to 398,778.90, 598,165.24 and 99,257.46

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Solution

The fourth proportional to 398,778.90, 598,165.24 and 99,257.46 is: 148,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,778.90 : 598,165.24 = 99,257.46 : x
  2. Step 2: Convert to fraction form
    398,778.90/598,165.24 = 99,257.46/x
  3. Step 3: Cross multiply
    398,778.90x = 598,165.24 × 99,257.46
  4. Step 4: Simplify right side
    398,778.90x = 59,372,362,382.69
  5. Step 5: Solve for x
    x = 59,372,362,382.69/398,778.90
  6. Step 6: Final answer
    x = 148,885.42

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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.