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Finding the Fourth Proportional to 298,135.47, 447,022.60 and 133,787.72

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Solution

The fourth proportional to 298,135.47, 447,022.60 and 133,787.72 is: 200,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,135.47 : 447,022.60 = 133,787.72 : x
  2. Step 2: Convert to fraction form
    298,135.47/447,022.60 = 133,787.72/x
  3. Step 3: Cross multiply
    298,135.47x = 447,022.60 × 133,787.72
  4. Step 4: Simplify right side
    298,135.47x = 59,806,134,785.07
  5. Step 5: Solve for x
    x = 59,806,134,785.07/298,135.47
  6. Step 6: Final answer
    x = 200,600.54

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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.