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Finding the Fourth Proportional to 257,085.92, 385,776.47 and 200,767.97

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Solution

The fourth proportional to 257,085.92, 385,776.47 and 200,767.97 is: 301,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,085.92 : 385,776.47 = 200,767.97 : x
  2. Step 2: Convert to fraction form
    257,085.92/385,776.47 = 200,767.97/x
  3. Step 3: Cross multiply
    257,085.92x = 385,776.47 × 200,767.97
  4. Step 4: Simplify right side
    257,085.92x = 77,451,555,822.94
  5. Step 5: Solve for x
    x = 77,451,555,822.94/257,085.92
  6. Step 6: Final answer
    x = 301,267.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.