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Finding the Fourth Proportional to 311,687.44, 467,557.65 and 98,398.28

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Solution

The fourth proportional to 311,687.44, 467,557.65 and 98,398.28 is: 147,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,687.44 : 467,557.65 = 98,398.28 : x
  2. Step 2: Convert to fraction form
    311,687.44/467,557.65 = 98,398.28/x
  3. Step 3: Cross multiply
    311,687.44x = 467,557.65 × 98,398.28
  4. Step 4: Simplify right side
    311,687.44x = 46,006,869,729.74
  5. Step 5: Solve for x
    x = 46,006,869,729.74/311,687.44
  6. Step 6: Final answer
    x = 147,605.79

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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.