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Finding the Fourth Proportional to 393,786.72, 590,535.18 and 140,998.68

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Solution

The fourth proportional to 393,786.72, 590,535.18 and 140,998.68 is: 211,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,786.72 : 590,535.18 = 140,998.68 : x
  2. Step 2: Convert to fraction form
    393,786.72/590,535.18 = 140,998.68/x
  3. Step 3: Cross multiply
    393,786.72x = 590,535.18 × 140,998.68
  4. Step 4: Simplify right side
    393,786.72x = 83,264,680,873.56
  5. Step 5: Solve for x
    x = 83,264,680,873.56/393,786.72
  6. Step 6: Final answer
    x = 211,446.14

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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.