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Finding the Fourth Proportional to 312,620.96, 431,416.29 and 169,381.57

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Solution

The fourth proportional to 312,620.96, 431,416.29 and 169,381.57 is: 233,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,620.96 : 431,416.29 = 169,381.57 : x
  2. Step 2: Convert to fraction form
    312,620.96/431,416.29 = 169,381.57/x
  3. Step 3: Cross multiply
    312,620.96x = 431,416.29 × 169,381.57
  4. Step 4: Simplify right side
    312,620.96x = 73,073,968,523.78
  5. Step 5: Solve for x
    x = 73,073,968,523.78/312,620.96
  6. Step 6: Final answer
    x = 233,746.22

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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.