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Finding the Fourth Proportional to 312,397.24, 431,110.20 and 169,158.48

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Solution

The fourth proportional to 312,397.24, 431,110.20 and 169,158.48 is: 233,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,397.24 : 431,110.20 = 169,158.48 : x
  2. Step 2: Convert to fraction form
    312,397.24/431,110.20 = 169,158.48/x
  3. Step 3: Cross multiply
    312,397.24x = 431,110.20 × 169,158.48
  4. Step 4: Simplify right side
    312,397.24x = 72,925,946,144.50
  5. Step 5: Solve for x
    x = 72,925,946,144.50/312,397.24
  6. Step 6: Final answer
    x = 233,439.79

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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.