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Finding the Fourth Proportional to 311,434.77, 466,930.72 and 149,142.97

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Solution

The fourth proportional to 311,434.77, 466,930.72 and 149,142.97 is: 223,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,434.77 : 466,930.72 = 149,142.97 : x
  2. Step 2: Convert to fraction form
    311,434.77/466,930.72 = 149,142.97/x
  3. Step 3: Cross multiply
    311,434.77x = 466,930.72 × 149,142.97
  4. Step 4: Simplify right side
    311,434.77x = 69,639,431,284.67
  5. Step 5: Solve for x
    x = 69,639,431,284.67/311,434.77
  6. Step 6: Final answer
    x = 223,608.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.