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Finding the Fourth Proportional to 289,754.52, 434,612.67 and 100,170.78

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Solution

The fourth proportional to 289,754.52, 434,612.67 and 100,170.78 is: 150,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,754.52 : 434,612.67 = 100,170.78 : x
  2. Step 2: Convert to fraction form
    289,754.52/434,612.67 = 100,170.78/x
  3. Step 3: Cross multiply
    289,754.52x = 434,612.67 × 100,170.78
  4. Step 4: Simplify right side
    289,754.52x = 43,535,490,151.78
  5. Step 5: Solve for x
    x = 43,535,490,151.78/289,754.52
  6. Step 6: Final answer
    x = 150,249.56

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1.5x scale

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.