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Finding the Fourth Proportional to 311,111.76, 429,311.97 and 175,138.68

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Solution

The fourth proportional to 311,111.76, 429,311.97 and 175,138.68 is: 241,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,111.76 : 429,311.97 = 175,138.68 : x
  2. Step 2: Convert to fraction form
    311,111.76/429,311.97 = 175,138.68/x
  3. Step 3: Cross multiply
    311,111.76x = 429,311.97 × 175,138.68
  4. Step 4: Simplify right side
    311,111.76x = 75,189,131,734.00
  5. Step 5: Solve for x
    x = 75,189,131,734.00/311,111.76
  6. Step 6: Final answer
    x = 241,678.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.