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Finding the Fourth Proportional to 398,647.68, 597,902.40 and 149,278.08

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Solution

The fourth proportional to 398,647.68, 597,902.40 and 149,278.08 is: 223,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647.68 : 597,902.40 = 149,278.08 : x
  2. Step 2: Convert to fraction form
    398,647.68/597,902.40 = 149,278.08/x
  3. Step 3: Cross multiply
    398,647.68x = 597,902.40 × 149,278.08
  4. Step 4: Simplify right side
    398,647.68x = 89,253,722,299.39
  5. Step 5: Solve for x
    x = 89,253,722,299.39/398,647.68
  6. Step 6: Final answer
    x = 223,891.24

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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.