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Finding the Fourth Proportional to 413,734.50, 620,601.78 and 133,251.75

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Solution

The fourth proportional to 413,734.50, 620,601.78 and 133,251.75 is: 199,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,734.50 : 620,601.78 = 133,251.75 : x
  2. Step 2: Convert to fraction form
    413,734.50/620,601.78 = 133,251.75/x
  3. Step 3: Cross multiply
    413,734.50x = 620,601.78 × 133,251.75
  4. Step 4: Simplify right side
    413,734.50x = 82,696,273,737.81
  5. Step 5: Solve for x
    x = 82,696,273,737.81/413,734.50
  6. Step 6: Final answer
    x = 199,877.64

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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.