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Finding the Fourth Proportional to 198,453.40, 296,951.10 and 145,965.40

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Solution

The fourth proportional to 198,453.40, 296,951.10 and 145,965.40 is: 218,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,453.40 : 296,951.10 = 145,965.40 : x
  2. Step 2: Convert to fraction form
    198,453.40/296,951.10 = 145,965.40/x
  3. Step 3: Cross multiply
    198,453.40x = 296,951.10 × 145,965.40
  4. Step 4: Simplify right side
    198,453.40x = 43,344,586,091.94
  5. Step 5: Solve for x
    x = 43,344,586,091.94/198,453.40
  6. Step 6: Final answer
    x = 218,411.91

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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.