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Finding the Fourth Proportional to 312,882.40, 431,775.10 and 176,943.04

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Solution

The fourth proportional to 312,882.40, 431,775.10 and 176,943.04 is: 244,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,882.40 : 431,775.10 = 176,943.04 : x
  2. Step 2: Convert to fraction form
    312,882.40/431,775.10 = 176,943.04/x
  3. Step 3: Cross multiply
    312,882.40x = 431,775.10 × 176,943.04
  4. Step 4: Simplify right side
    312,882.40x = 76,399,598,790.30
  5. Step 5: Solve for x
    x = 76,399,598,790.30/312,882.40
  6. Step 6: Final answer
    x = 244,179.92

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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.