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Finding the Fourth Proportional to 289,126.38, 399,119.52 and 217,524

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Solution

The fourth proportional to 289,126.38, 399,119.52 and 217,524 is: 300,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,126.38 : 399,119.52 = 217,524 : x
  2. Step 2: Convert to fraction form
    289,126.38/399,119.52 = 217,524/x
  3. Step 3: Cross multiply
    289,126.38x = 399,119.52 × 217,524
  4. Step 4: Simplify right side
    289,126.38x = 86,818,074,468.48
  5. Step 5: Solve for x
    x = 86,818,074,468.48/289,126.38
  6. Step 6: Final answer
    x = 300,277.25

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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.