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Finding the Fourth Proportional to 304,647.56, 457,080.78 and 136,153.88

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Solution

The fourth proportional to 304,647.56, 457,080.78 and 136,153.88 is: 204,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,647.56 : 457,080.78 = 136,153.88 : x
  2. Step 2: Convert to fraction form
    304,647.56/457,080.78 = 136,153.88/x
  3. Step 3: Cross multiply
    304,647.56x = 457,080.78 × 136,153.88
  4. Step 4: Simplify right side
    304,647.56x = 62,233,321,670.43
  5. Step 5: Solve for x
    x = 62,233,321,670.43/304,647.56
  6. Step 6: Final answer
    x = 204,279.73

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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.