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Finding the Fourth Proportional to 272,276.31, 408,360.63 and 258,773.97

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Solution

The fourth proportional to 272,276.31, 408,360.63 and 258,773.97 is: 388,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,276.31 : 408,360.63 = 258,773.97 : x
  2. Step 2: Convert to fraction form
    272,276.31/408,360.63 = 258,773.97/x
  3. Step 3: Cross multiply
    272,276.31x = 408,360.63 × 258,773.97
  4. Step 4: Simplify right side
    272,276.31x = 105,673,101,416.80
  5. Step 5: Solve for x
    x = 105,673,101,416.80/272,276.31
  6. Step 6: Final answer
    x = 388,109.79

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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.