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Finding the Fourth Proportional to 311,956.80, 430,553.32 and 176,029.29

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Solution

The fourth proportional to 311,956.80, 430,553.32 and 176,029.29 is: 242,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956.80 : 430,553.32 = 176,029.29 : x
  2. Step 2: Convert to fraction form
    311,956.80/430,553.32 = 176,029.29/x
  3. Step 3: Cross multiply
    311,956.80x = 430,553.32 × 176,029.29
  4. Step 4: Simplify right side
    311,956.80x = 75,789,995,226.74
  5. Step 5: Solve for x
    x = 75,789,995,226.74/311,956.80
  6. Step 6: Final answer
    x = 242,950.29

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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.