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Finding the Fourth Proportional to 398,524.80, 597,787.20 and 304,046.40

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Solution

The fourth proportional to 398,524.80, 597,787.20 and 304,046.40 is: 456,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,524.80 : 597,787.20 = 304,046.40 : x
  2. Step 2: Convert to fraction form
    398,524.80/597,787.20 = 304,046.40/x
  3. Step 3: Cross multiply
    398,524.80x = 597,787.20 × 304,046.40
  4. Step 4: Simplify right side
    398,524.80x = 181,755,046,126.08
  5. Step 5: Solve for x
    x = 181,755,046,126.08/398,524.80
  6. Step 6: Final answer
    x = 456,069.60

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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.