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Finding the Fourth Proportional to 203,435.70, 304,861.95 and 149,708.40

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Solution

The fourth proportional to 203,435.70, 304,861.95 and 149,708.40 is: 224,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,435.70 : 304,861.95 = 149,708.40 : x
  2. Step 2: Convert to fraction form
    203,435.70/304,861.95 = 149,708.40/x
  3. Step 3: Cross multiply
    203,435.70x = 304,861.95 × 149,708.40
  4. Step 4: Simplify right side
    203,435.70x = 45,640,394,755.38
  5. Step 5: Solve for x
    x = 45,640,394,755.38/203,435.70
  6. Step 6: Final answer
    x = 224,348.01

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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.