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Finding the Fourth Proportional to 203,408.20, 304,820.70 and 149,680.90

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Solution

The fourth proportional to 203,408.20, 304,820.70 and 149,680.90 is: 224,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,408.20 : 304,820.70 = 149,680.90 : x
  2. Step 2: Convert to fraction form
    203,408.20/304,820.70 = 149,680.90/x
  3. Step 3: Cross multiply
    203,408.20x = 304,820.70 × 149,680.90
  4. Step 4: Simplify right side
    203,408.20x = 45,625,836,714.63
  5. Step 5: Solve for x
    x = 45,625,836,714.63/203,408.20
  6. Step 6: Final answer
    x = 224,306.77

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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.