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Finding the Fourth Proportional to 312,459.28, 431,191.38 and 169,216

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Solution

The fourth proportional to 312,459.28, 431,191.38 and 169,216 is: 233,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,459.28 : 431,191.38 = 169,216 : x
  2. Step 2: Convert to fraction form
    312,459.28/431,191.38 = 169,216/x
  3. Step 3: Cross multiply
    312,459.28x = 431,191.38 × 169,216
  4. Step 4: Simplify right side
    312,459.28x = 72,964,480,558.08
  5. Step 5: Solve for x
    x = 72,964,480,558.08/312,459.28
  6. Step 6: Final answer
    x = 233,516.77

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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.