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Finding the Fourth Proportional to 312,644.70, 431,447.85 and 176,722.65

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Solution

The fourth proportional to 312,644.70, 431,447.85 and 176,722.65 is: 243,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,644.70 : 431,447.85 = 176,722.65 : x
  2. Step 2: Convert to fraction form
    312,644.70/431,447.85 = 176,722.65/x
  3. Step 3: Cross multiply
    312,644.70x = 431,447.85 × 176,722.65
  4. Step 4: Simplify right side
    312,644.70x = 76,246,607,388.80
  5. Step 5: Solve for x
    x = 76,246,607,388.80/312,644.70
  6. Step 6: Final answer
    x = 243,876.22

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1.5x scale

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.