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Finding the Fourth Proportional to 312,781.32, 431,626.66 and 169,538.29

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Solution

The fourth proportional to 312,781.32, 431,626.66 and 169,538.29 is: 233,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,781.32 : 431,626.66 = 169,538.29 : x
  2. Step 2: Convert to fraction form
    312,781.32/431,626.66 = 169,538.29/x
  3. Step 3: Cross multiply
    312,781.32x = 431,626.66 × 169,538.29
  4. Step 4: Simplify right side
    312,781.32x = 73,177,246,281.09
  5. Step 5: Solve for x
    x = 73,177,246,281.09/312,781.32
  6. Step 6: Final answer
    x = 233,956.57

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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.