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Finding the Fourth Proportional to 272,291.57, 408,134.69 and 205,515.17

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Solution

The fourth proportional to 272,291.57, 408,134.69 and 205,515.17 is: 308,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,291.57 : 408,134.69 = 205,515.17 : x
  2. Step 2: Convert to fraction form
    272,291.57/408,134.69 = 205,515.17/x
  3. Step 3: Cross multiply
    272,291.57x = 408,134.69 × 205,515.17
  4. Step 4: Simplify right side
    272,291.57x = 83,877,869,170.67
  5. Step 5: Solve for x
    x = 83,877,869,170.67/272,291.57
  6. Step 6: Final answer
    x = 308,044.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.