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Finding the Fourth Proportional to 269,844, 404,695.42 and 80,253.28

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Solution

The fourth proportional to 269,844, 404,695.42 and 80,253.28 is: 120,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,844 : 404,695.42 = 80,253.28 : x
  2. Step 2: Convert to fraction form
    269,844/404,695.42 = 80,253.28/x
  3. Step 3: Cross multiply
    269,844x = 404,695.42 × 80,253.28
  4. Step 4: Simplify right side
    269,844x = 32,478,134,855.98
  5. Step 5: Solve for x
    x = 32,478,134,855.98/269,844
  6. Step 6: Final answer
    x = 120,358.93

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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.