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Finding the Fourth Proportional to 398,841.90, 598,253.13 and 162,125.88

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Solution

The fourth proportional to 398,841.90, 598,253.13 and 162,125.88 is: 243,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,841.90 : 598,253.13 = 162,125.88 : x
  2. Step 2: Convert to fraction form
    398,841.90/598,253.13 = 162,125.88/x
  3. Step 3: Cross multiply
    398,841.90x = 598,253.13 × 162,125.88
  4. Step 4: Simplify right side
    398,841.90x = 96,992,315,164.00
  5. Step 5: Solve for x
    x = 96,992,315,164.00/398,841.90
  6. Step 6: Final answer
    x = 243,184.87

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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.