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Finding the Fourth Proportional to 476,722.56, 657,874.72 and 261,861.96

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Solution

The fourth proportional to 476,722.56, 657,874.72 and 261,861.96 is: 361,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,722.56 : 657,874.72 = 261,861.96 : x
  2. Step 2: Convert to fraction form
    476,722.56/657,874.72 = 261,861.96/x
  3. Step 3: Cross multiply
    476,722.56x = 657,874.72 × 261,861.96
  4. Step 4: Simplify right side
    476,722.56x = 172,272,363,613.65
  5. Step 5: Solve for x
    x = 172,272,363,613.65/476,722.56
  6. Step 6: Final answer
    x = 361,368.18

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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.