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Finding the Fourth Proportional to 393,429.42, 590,143.05 and 168,644.16

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Solution

The fourth proportional to 393,429.42, 590,143.05 and 168,644.16 is: 252,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,429.42 : 590,143.05 = 168,644.16 : x
  2. Step 2: Convert to fraction form
    393,429.42/590,143.05 = 168,644.16/x
  3. Step 3: Cross multiply
    393,429.42x = 590,143.05 × 168,644.16
  4. Step 4: Simplify right side
    393,429.42x = 99,524,178,947.09
  5. Step 5: Solve for x
    x = 99,524,178,947.09/393,429.42
  6. Step 6: Final answer
    x = 252,965.78

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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.