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Finding the Fourth Proportional to 311,944.30, 467,916.45 and 247,728.52

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Solution

The fourth proportional to 311,944.30, 467,916.45 and 247,728.52 is: 371,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,944.30 : 467,916.45 = 247,728.52 : x
  2. Step 2: Convert to fraction form
    311,944.30/467,916.45 = 247,728.52/x
  3. Step 3: Cross multiply
    311,944.30x = 467,916.45 × 247,728.52
  4. Step 4: Simplify right side
    311,944.30x = 115,916,249,642.15
  5. Step 5: Solve for x
    x = 115,916,249,642.15/311,944.30
  6. Step 6: Final answer
    x = 371,592.78

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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.