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Finding the Fourth Proportional to 260,887.76, 391,409.72 and 150,002

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Solution

The fourth proportional to 260,887.76, 391,409.72 and 150,002 is: 225,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,887.76 : 391,409.72 = 150,002 : x
  2. Step 2: Convert to fraction form
    260,887.76/391,409.72 = 150,002/x
  3. Step 3: Cross multiply
    260,887.76x = 391,409.72 × 150,002
  4. Step 4: Simplify right side
    260,887.76x = 58,712,240,819.44
  5. Step 5: Solve for x
    x = 58,712,240,819.44/260,887.76
  6. Step 6: Final answer
    x = 225,047.89

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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.