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Finding the Fourth Proportional to 230,419.76, 345,786.37 and 141,401.57

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Solution

The fourth proportional to 230,419.76, 345,786.37 and 141,401.57 is: 212,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,419.76 : 345,786.37 = 141,401.57 : x
  2. Step 2: Convert to fraction form
    230,419.76/345,786.37 = 141,401.57/x
  3. Step 3: Cross multiply
    230,419.76x = 345,786.37 × 141,401.57
  4. Step 4: Simplify right side
    230,419.76x = 48,894,733,520.17
  5. Step 5: Solve for x
    x = 48,894,733,520.17/230,419.76
  6. Step 6: Final answer
    x = 212,198.53

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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.