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Finding the Fourth Proportional to 399,274.49, 550,995.97 and 217,986.40

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Solution

The fourth proportional to 399,274.49, 550,995.97 and 217,986.40 is: 300,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,274.49 : 550,995.97 = 217,986.40 : x
  2. Step 2: Convert to fraction form
    399,274.49/550,995.97 = 217,986.40/x
  3. Step 3: Cross multiply
    399,274.49x = 550,995.97 × 217,986.40
  4. Step 4: Simplify right side
    399,274.49x = 120,109,626,917.64
  5. Step 5: Solve for x
    x = 120,109,626,917.64/399,274.49
  6. Step 6: Final answer
    x = 300,819.69

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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.