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Finding the Fourth Proportional to 661,125, 991,105.86 and 262,045.88

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Solution

The fourth proportional to 661,125, 991,105.86 and 262,045.88 is: 392,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,125 : 991,105.86 = 262,045.88 : x
  2. Step 2: Convert to fraction form
    661,125/991,105.86 = 262,045.88/x
  3. Step 3: Cross multiply
    661,125x = 991,105.86 × 262,045.88
  4. Step 4: Simplify right side
    661,125x = 259,715,207,256.86
  5. Step 5: Solve for x
    x = 259,715,207,256.86/661,125
  6. Step 6: Final answer
    x = 392,838.28

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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.