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Finding the Fourth Proportional to 420,841.44, 580,751.82 and 229,855.50

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Solution

The fourth proportional to 420,841.44, 580,751.82 and 229,855.50 is: 317,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,841.44 : 580,751.82 = 229,855.50 : x
  2. Step 2: Convert to fraction form
    420,841.44/580,751.82 = 229,855.50/x
  3. Step 3: Cross multiply
    420,841.44x = 580,751.82 × 229,855.50
  4. Step 4: Simplify right side
    420,841.44x = 133,488,999,962.01
  5. Step 5: Solve for x
    x = 133,488,999,962.01/420,841.44
  6. Step 6: Final answer
    x = 317,195.47

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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.