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Finding the Fourth Proportional to 398,944.80, 598,417.20 and 309,715.20

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Solution

The fourth proportional to 398,944.80, 598,417.20 and 309,715.20 is: 464,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,944.80 : 598,417.20 = 309,715.20 : x
  2. Step 2: Convert to fraction form
    398,944.80/598,417.20 = 309,715.20/x
  3. Step 3: Cross multiply
    398,944.80x = 598,417.20 × 309,715.20
  4. Step 4: Simplify right side
    398,944.80x = 185,338,902,781.44
  5. Step 5: Solve for x
    x = 185,338,902,781.44/398,944.80
  6. Step 6: Final answer
    x = 464,572.80

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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.