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Finding the Fourth Proportional to 399,191.16, 598,611.06 and 149,698.20

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Solution

The fourth proportional to 399,191.16, 598,611.06 and 149,698.20 is: 224,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,191.16 : 598,611.06 = 149,698.20 : x
  2. Step 2: Convert to fraction form
    399,191.16/598,611.06 = 149,698.20/x
  3. Step 3: Cross multiply
    399,191.16x = 598,611.06 × 149,698.20
  4. Step 4: Simplify right side
    399,191.16x = 89,610,998,182.09
  5. Step 5: Solve for x
    x = 89,610,998,182.09/399,191.16
  6. Step 6: Final answer
    x = 224,481.42

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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.