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Finding the Fourth Proportional to 313,003.59, 431,954.72 and 177,034.87

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Solution

The fourth proportional to 313,003.59, 431,954.72 and 177,034.87 is: 244,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,003.59 : 431,954.72 = 177,034.87 : x
  2. Step 2: Convert to fraction form
    313,003.59/431,954.72 = 177,034.87/x
  3. Step 3: Cross multiply
    313,003.59x = 431,954.72 × 177,034.87
  4. Step 4: Simplify right side
    313,003.59x = 76,471,047,701.09
  5. Step 5: Solve for x
    x = 76,471,047,701.09/313,003.59
  6. Step 6: Final answer
    x = 244,313.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.