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Finding the Fourth Proportional to 312,769.68, 431,279.82 and 232,346.40

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Solution

The fourth proportional to 312,769.68, 431,279.82 and 232,346.40 is: 320,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,769.68 : 431,279.82 = 232,346.40 : x
  2. Step 2: Convert to fraction form
    312,769.68/431,279.82 = 232,346.40/x
  3. Step 3: Cross multiply
    312,769.68x = 431,279.82 × 232,346.40
  4. Step 4: Simplify right side
    312,769.68x = 100,206,313,569.65
  5. Step 5: Solve for x
    x = 100,206,313,569.65/312,769.68
  6. Step 6: Final answer
    x = 320,383.72

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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.