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Finding the Fourth Proportional to 298,190.38, 447,382.78 and 140,434.78

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Solution

The fourth proportional to 298,190.38, 447,382.78 and 140,434.78 is: 210,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,190.38 : 447,382.78 = 140,434.78 : x
  2. Step 2: Convert to fraction form
    298,190.38/447,382.78 = 140,434.78/x
  3. Step 3: Cross multiply
    298,190.38x = 447,382.78 × 140,434.78
  4. Step 4: Simplify right side
    298,190.38x = 62,828,102,285.09
  5. Step 5: Solve for x
    x = 62,828,102,285.09/298,190.38
  6. Step 6: Final answer
    x = 210,697.95

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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.