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Finding the Fourth Proportional to 311,687.13, 429,928.79 and 216,158.97

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Solution

The fourth proportional to 311,687.13, 429,928.79 and 216,158.97 is: 298,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,687.13 : 429,928.79 = 216,158.97 : x
  2. Step 2: Convert to fraction form
    311,687.13/429,928.79 = 216,158.97/x
  3. Step 3: Cross multiply
    311,687.13x = 429,928.79 × 216,158.97
  4. Step 4: Simplify right side
    311,687.13x = 92,932,963,338.95
  5. Step 5: Solve for x
    x = 92,932,963,338.95/311,687.13
  6. Step 6: Final answer
    x = 298,161.05

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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.