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Finding the Fourth Proportional to 398,832.80, 598,074.06 and 149,339.84

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Solution

The fourth proportional to 398,832.80, 598,074.06 and 149,339.84 is: 223,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,832.80 : 598,074.06 = 149,339.84 : x
  2. Step 2: Convert to fraction form
    398,832.80/598,074.06 = 149,339.84/x
  3. Step 3: Cross multiply
    398,832.80x = 598,074.06 × 149,339.84
  4. Step 4: Simplify right side
    398,832.80x = 89,316,284,428.55
  5. Step 5: Solve for x
    x = 89,316,284,428.55/398,832.80
  6. Step 6: Final answer
    x = 223,944.18

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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.