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Finding the Fourth Proportional to 261,399.34, 391,940.85 and 117,278.77

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Solution

The fourth proportional to 261,399.34, 391,940.85 and 117,278.77 is: 175,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,399.34 : 391,940.85 = 117,278.77 : x
  2. Step 2: Convert to fraction form
    261,399.34/391,940.85 = 117,278.77/x
  3. Step 3: Cross multiply
    261,399.34x = 391,940.85 × 117,278.77
  4. Step 4: Simplify right side
    261,399.34x = 45,966,340,800.75
  5. Step 5: Solve for x
    x = 45,966,340,800.75/261,399.34
  6. Step 6: Final answer
    x = 175,847.20

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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.