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Finding the Fourth Proportional to 420,841.83, 580,761.72 and 229,855.67

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Solution

The fourth proportional to 420,841.83, 580,761.72 and 229,855.67 is: 317,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,841.83 : 580,761.72 = 229,855.67 : x
  2. Step 2: Convert to fraction form
    420,841.83/580,761.72 = 229,855.67/x
  3. Step 3: Cross multiply
    420,841.83x = 580,761.72 × 229,855.67
  4. Step 4: Simplify right side
    420,841.83x = 133,491,377,448.25
  5. Step 5: Solve for x
    x = 133,491,377,448.25/420,841.83
  6. Step 6: Final answer
    x = 317,200.83

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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.