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Finding the Fourth Proportional to 204,614.80, 307,578.30 and 145,857.40

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Solution

The fourth proportional to 204,614.80, 307,578.30 and 145,857.40 is: 219,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,614.80 : 307,578.30 = 145,857.40 : x
  2. Step 2: Convert to fraction form
    204,614.80/307,578.30 = 145,857.40/x
  3. Step 3: Cross multiply
    204,614.80x = 307,578.30 × 145,857.40
  4. Step 4: Simplify right side
    204,614.80x = 44,862,571,134.42
  5. Step 5: Solve for x
    x = 44,862,571,134.42/204,614.80
  6. Step 6: Final answer
    x = 219,253.79

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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.