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Finding the Fourth Proportional to 420,958.28, 580,891.92 and 229,931.12

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Solution

The fourth proportional to 420,958.28, 580,891.92 and 229,931.12 is: 317,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,958.28 : 580,891.92 = 229,931.12 : x
  2. Step 2: Convert to fraction form
    420,958.28/580,891.92 = 229,931.12/x
  3. Step 3: Cross multiply
    420,958.28x = 580,891.92 × 229,931.12
  4. Step 4: Simplify right side
    420,958.28x = 133,565,129,764.55
  5. Step 5: Solve for x
    x = 133,565,129,764.55/420,958.28
  6. Step 6: Final answer
    x = 317,288.28

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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.