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Finding the Fourth Proportional to 282,188.96, 388,781.62 and 268,736.86

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Solution

The fourth proportional to 282,188.96, 388,781.62 and 268,736.86 is: 370,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,188.96 : 388,781.62 = 268,736.86 : x
  2. Step 2: Convert to fraction form
    282,188.96/388,781.62 = 268,736.86/x
  3. Step 3: Cross multiply
    282,188.96x = 388,781.62 × 268,736.86
  4. Step 4: Simplify right side
    282,188.96x = 104,479,948,496.92
  5. Step 5: Solve for x
    x = 104,479,948,496.92/282,188.96
  6. Step 6: Final answer
    x = 370,248.18

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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.