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Finding the Fourth Proportional to 297,523.38, 447,057.81 and 278,085.81

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Solution

The fourth proportional to 297,523.38, 447,057.81 and 278,085.81 is: 417,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,523.38 : 447,057.81 = 278,085.81 : x
  2. Step 2: Convert to fraction form
    297,523.38/447,057.81 = 278,085.81/x
  3. Step 3: Cross multiply
    297,523.38x = 447,057.81 × 278,085.81
  4. Step 4: Simplify right side
    297,523.38x = 124,320,433,210.68
  5. Step 5: Solve for x
    x = 124,320,433,210.68/297,523.38
  6. Step 6: Final answer
    x = 417,850.97

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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.