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Finding the Fourth Proportional to 399,247.16, 550,969.43 and 217,966.73

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Solution

The fourth proportional to 399,247.16, 550,969.43 and 217,966.73 is: 300,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,247.16 : 550,969.43 = 217,966.73 : x
  2. Step 2: Convert to fraction form
    399,247.16/550,969.43 = 217,966.73/x
  3. Step 3: Cross multiply
    399,247.16x = 550,969.43 × 217,966.73
  4. Step 4: Simplify right side
    399,247.16x = 120,093,005,274.65
  5. Step 5: Solve for x
    x = 120,093,005,274.65/399,247.16
  6. Step 6: Final answer
    x = 300,798.64

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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.