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Finding the Fourth Proportional to 398,644.28, 550,133.40 and 217,354.72

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Solution

The fourth proportional to 398,644.28, 550,133.40 and 217,354.72 is: 299,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,644.28 : 550,133.40 = 217,354.72 : x
  2. Step 2: Convert to fraction form
    398,644.28/550,133.40 = 217,354.72/x
  3. Step 3: Cross multiply
    398,644.28x = 550,133.40 × 217,354.72
  4. Step 4: Simplify right side
    398,644.28x = 119,574,091,119.65
  5. Step 5: Solve for x
    x = 119,574,091,119.65/398,644.28
  6. Step 6: Final answer
    x = 299,951.85

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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.