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Finding the Fourth Proportional to 397,508.69, 548,741.11 and 261,613.98

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Solution

The fourth proportional to 397,508.69, 548,741.11 and 261,613.98 is: 361,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,508.69 : 548,741.11 = 261,613.98 : x
  2. Step 2: Convert to fraction form
    397,508.69/548,741.11 = 261,613.98/x
  3. Step 3: Cross multiply
    397,508.69x = 548,741.11 × 261,613.98
  4. Step 4: Simplify right side
    397,508.69x = 143,558,345,776.72
  5. Step 5: Solve for x
    x = 143,558,345,776.72/397,508.69
  6. Step 6: Final answer
    x = 361,145.18

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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.