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Finding the Fourth Proportional to 298,568, 447,853.62 and 76,952

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Solution

The fourth proportional to 298,568, 447,853.62 and 76,952 is: 115,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,568 : 447,853.62 = 76,952 : x
  2. Step 2: Convert to fraction form
    298,568/447,853.62 = 76,952/x
  3. Step 3: Cross multiply
    298,568x = 447,853.62 × 76,952
  4. Step 4: Simplify right side
    298,568x = 34,463,231,766.24
  5. Step 5: Solve for x
    x = 34,463,231,766.24/298,568
  6. Step 6: Final answer
    x = 115,428.42

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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.