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Finding the Fourth Proportional to 268,847.62, 402,990.06 and 100,300.12

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Solution

The fourth proportional to 268,847.62, 402,990.06 and 100,300.12 is: 150,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,847.62 : 402,990.06 = 100,300.12 : x
  2. Step 2: Convert to fraction form
    268,847.62/402,990.06 = 100,300.12/x
  3. Step 3: Cross multiply
    268,847.62x = 402,990.06 × 100,300.12
  4. Step 4: Simplify right side
    268,847.62x = 40,419,951,376.81
  5. Step 5: Solve for x
    x = 40,419,951,376.81/268,847.62
  6. Step 6: Final answer
    x = 150,345.21

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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.