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Finding the Fourth Proportional to 261,398.34, 391,939.35 and 117,277.77

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Solution

The fourth proportional to 261,398.34, 391,939.35 and 117,277.77 is: 175,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,398.34 : 391,939.35 = 117,277.77 : x
  2. Step 2: Convert to fraction form
    261,398.34/391,939.35 = 117,277.77/x
  3. Step 3: Cross multiply
    261,398.34x = 391,939.35 × 117,277.77
  4. Step 4: Simplify right side
    261,398.34x = 45,965,770,983.55
  5. Step 5: Solve for x
    x = 45,965,770,983.55/261,398.34
  6. Step 6: Final answer
    x = 175,845.69

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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.