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Finding the Fourth Proportional to 661,181.92, 991,378.68 and 261,880

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Solution

The fourth proportional to 661,181.92, 991,378.68 and 261,880 is: 392,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,181.92 : 991,378.68 = 261,880 : x
  2. Step 2: Convert to fraction form
    661,181.92/991,378.68 = 261,880/x
  3. Step 3: Cross multiply
    661,181.92x = 991,378.68 × 261,880
  4. Step 4: Simplify right side
    661,181.92x = 259,622,248,718.40
  5. Step 5: Solve for x
    x = 259,622,248,718.40/661,181.92
  6. Step 6: Final answer
    x = 392,663.87

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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.