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Finding the Fourth Proportional to 312,595.20, 431,380.80 and 169,358.80

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Solution

The fourth proportional to 312,595.20, 431,380.80 and 169,358.80 is: 233,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,595.20 : 431,380.80 = 169,358.80 : x
  2. Step 2: Convert to fraction form
    312,595.20/431,380.80 = 169,358.80/x
  3. Step 3: Cross multiply
    312,595.20x = 431,380.80 × 169,358.80
  4. Step 4: Simplify right side
    312,595.20x = 73,058,134,631.04
  5. Step 5: Solve for x
    x = 73,058,134,631.04/312,595.20
  6. Step 6: Final answer
    x = 233,714.83

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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.