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Finding the Fourth Proportional to 272,287.32, 408,128.31 and 205,510.92

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Solution

The fourth proportional to 272,287.32, 408,128.31 and 205,510.92 is: 308,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,287.32 : 408,128.31 = 205,510.92 : x
  2. Step 2: Convert to fraction form
    272,287.32/408,128.31 = 205,510.92/x
  3. Step 3: Cross multiply
    272,287.32x = 408,128.31 × 205,510.92
  4. Step 4: Simplify right side
    272,287.32x = 83,874,824,466.15
  5. Step 5: Solve for x
    x = 83,874,824,466.15/272,287.32
  6. Step 6: Final answer
    x = 308,037.94

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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.