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Finding the Fourth Proportional to 257,802, 386,687.46 and 153,286.08

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Solution

The fourth proportional to 257,802, 386,687.46 and 153,286.08 is: 229,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,802 : 386,687.46 = 153,286.08 : x
  2. Step 2: Convert to fraction form
    257,802/386,687.46 = 153,286.08/x
  3. Step 3: Cross multiply
    257,802x = 386,687.46 × 153,286.08
  4. Step 4: Simplify right side
    257,802x = 59,273,804,928.56
  5. Step 5: Solve for x
    x = 59,273,804,928.56/257,802
  6. Step 6: Final answer
    x = 229,919.88

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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.