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Finding the Fourth Proportional to 268,405.86, 402,696.27 and 135,275.88

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Solution

The fourth proportional to 268,405.86, 402,696.27 and 135,275.88 is: 202,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,405.86 : 402,696.27 = 135,275.88 : x
  2. Step 2: Convert to fraction form
    268,405.86/402,696.27 = 135,275.88/x
  3. Step 3: Cross multiply
    268,405.86x = 402,696.27 × 135,275.88
  4. Step 4: Simplify right side
    268,405.86x = 54,475,092,296.97
  5. Step 5: Solve for x
    x = 54,475,092,296.97/268,405.86
  6. Step 6: Final answer
    x = 202,957.91

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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.