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Finding the Fourth Proportional to 261,081.29, 391,014.69 and 253,897.97

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Solution

The fourth proportional to 261,081.29, 391,014.69 and 253,897.97 is: 380,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,081.29 : 391,014.69 = 253,897.97 : x
  2. Step 2: Convert to fraction form
    261,081.29/391,014.69 = 253,897.97/x
  3. Step 3: Cross multiply
    261,081.29x = 391,014.69 × 253,897.97
  4. Step 4: Simplify right side
    261,081.29x = 99,277,836,031.18
  5. Step 5: Solve for x
    x = 99,277,836,031.18/261,081.29
  6. Step 6: Final answer
    x = 380,256.42

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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.