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Finding the Fourth Proportional to 420,778.32, 580,676.22 and 229,791.71

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Solution

The fourth proportional to 420,778.32, 580,676.22 and 229,791.71 is: 317,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,778.32 : 580,676.22 = 229,791.71 : x
  2. Step 2: Convert to fraction form
    420,778.32/580,676.22 = 229,791.71/x
  3. Step 3: Cross multiply
    420,778.32x = 580,676.22 × 229,791.71
  4. Step 4: Simplify right side
    420,778.32x = 133,434,578,646.76
  5. Step 5: Solve for x
    x = 133,434,578,646.76/420,778.32
  6. Step 6: Final answer
    x = 317,113.72

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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.