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Finding the Fourth Proportional to 311,955.30, 430,551.25 and 176,027.78

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Solution

The fourth proportional to 311,955.30, 430,551.25 and 176,027.78 is: 242,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,955.30 : 430,551.25 = 176,027.78 : x
  2. Step 2: Convert to fraction form
    311,955.30/430,551.25 = 176,027.78/x
  3. Step 3: Cross multiply
    311,955.30x = 430,551.25 × 176,027.78
  4. Step 4: Simplify right side
    311,955.30x = 75,788,981,350.03
  5. Step 5: Solve for x
    x = 75,788,981,350.03/311,955.30
  6. Step 6: Final answer
    x = 242,948.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.