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Finding the Fourth Proportional to 315,251.28, 435,046.80 and 202,074.30

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Solution

The fourth proportional to 315,251.28, 435,046.80 and 202,074.30 is: 278,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,251.28 : 435,046.80 = 202,074.30 : x
  2. Step 2: Convert to fraction form
    315,251.28/435,046.80 = 202,074.30/x
  3. Step 3: Cross multiply
    315,251.28x = 435,046.80 × 202,074.30
  4. Step 4: Simplify right side
    315,251.28x = 87,911,777,577.24
  5. Step 5: Solve for x
    x = 87,911,777,577.24/315,251.28
  6. Step 6: Final answer
    x = 278,862.56

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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.