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Finding the Fourth Proportional to 311,251.80, 466,221.60 and 278,009.40

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Solution

The fourth proportional to 311,251.80, 466,221.60 and 278,009.40 is: 416,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,251.80 : 466,221.60 = 278,009.40 : x
  2. Step 2: Convert to fraction form
    311,251.80/466,221.60 = 278,009.40/x
  3. Step 3: Cross multiply
    311,251.80x = 466,221.60 × 278,009.40
  4. Step 4: Simplify right side
    311,251.80x = 129,613,987,283.04
  5. Step 5: Solve for x
    x = 129,613,987,283.04/311,251.80
  6. Step 6: Final answer
    x = 416,428.07

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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.