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Finding the Fourth Proportional to 298,538.76, 447,724.97 and 98,874.78

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Solution

The fourth proportional to 298,538.76, 447,724.97 and 98,874.78 is: 148,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,538.76 : 447,724.97 = 98,874.78 : x
  2. Step 2: Convert to fraction form
    298,538.76/447,724.97 = 98,874.78/x
  3. Step 3: Cross multiply
    298,538.76x = 447,724.97 × 98,874.78
  4. Step 4: Simplify right side
    298,538.76x = 44,268,706,106.69
  5. Step 5: Solve for x
    x = 44,268,706,106.69/298,538.76
  6. Step 6: Final answer
    x = 148,284.62

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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.