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Finding the Fourth Proportional to 269,008.25, 370,825.74 and 221,178.56

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Solution

The fourth proportional to 269,008.25, 370,825.74 and 221,178.56 is: 304,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,008.25 : 370,825.74 = 221,178.56 : x
  2. Step 2: Convert to fraction form
    269,008.25/370,825.74 = 221,178.56/x
  3. Step 3: Cross multiply
    269,008.25x = 370,825.74 × 221,178.56
  4. Step 4: Simplify right side
    269,008.25x = 82,018,701,330.01
  5. Step 5: Solve for x
    x = 82,018,701,330.01/269,008.25
  6. Step 6: Final answer
    x = 304,892.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.