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Finding the Fourth Proportional to 398,906.20, 598,359.30 and 304,427.80

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Solution

The fourth proportional to 398,906.20, 598,359.30 and 304,427.80 is: 456,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,906.20 : 598,359.30 = 304,427.80 : x
  2. Step 2: Convert to fraction form
    398,906.20/598,359.30 = 304,427.80/x
  3. Step 3: Cross multiply
    398,906.20x = 598,359.30 × 304,427.80
  4. Step 4: Simplify right side
    398,906.20x = 182,157,205,308.54
  5. Step 5: Solve for x
    x = 182,157,205,308.54/398,906.20
  6. Step 6: Final answer
    x = 456,641.70

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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.