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Finding the Fourth Proportional to 399,243.90, 550,964.92 and 217,963.47

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Solution

The fourth proportional to 399,243.90, 550,964.92 and 217,963.47 is: 300,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,243.90 : 550,964.92 = 217,963.47 : x
  2. Step 2: Convert to fraction form
    399,243.90/550,964.92 = 217,963.47/x
  3. Step 3: Cross multiply
    399,243.90x = 550,964.92 × 217,963.47
  4. Step 4: Simplify right side
    399,243.90x = 120,090,225,811.47
  5. Step 5: Solve for x
    x = 120,090,225,811.47/399,243.90
  6. Step 6: Final answer
    x = 300,794.14

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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.