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Finding the Fourth Proportional to 312,545.05, 431,290.85 and 176,584.73

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Solution

The fourth proportional to 312,545.05, 431,290.85 and 176,584.73 is: 243,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,545.05 : 431,290.85 = 176,584.73 : x
  2. Step 2: Convert to fraction form
    312,545.05/431,290.85 = 176,584.73/x
  3. Step 3: Cross multiply
    312,545.05x = 431,290.85 × 176,584.73
  4. Step 4: Simplify right side
    312,545.05x = 76,159,375,259.34
  5. Step 5: Solve for x
    x = 76,159,375,259.34/312,545.05
  6. Step 6: Final answer
    x = 243,674.87

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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.