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Finding the Fourth Proportional to 398,789.52, 598,464.84 and 360,675

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Solution

The fourth proportional to 398,789.52, 598,464.84 and 360,675 is: 541,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,789.52 : 598,464.84 = 360,675 : x
  2. Step 2: Convert to fraction form
    398,789.52/598,464.84 = 360,675/x
  3. Step 3: Cross multiply
    398,789.52x = 598,464.84 × 360,675
  4. Step 4: Simplify right side
    398,789.52x = 215,851,306,167
  5. Step 5: Solve for x
    x = 215,851,306,167/398,789.52
  6. Step 6: Final answer
    x = 541,266.25

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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.