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Finding the Fourth Proportional to 218,652.84, 327,849.66 and 76,429.80

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Solution

The fourth proportional to 218,652.84, 327,849.66 and 76,429.80 is: 114,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,652.84 : 327,849.66 = 76,429.80 : x
  2. Step 2: Convert to fraction form
    218,652.84/327,849.66 = 76,429.80/x
  3. Step 3: Cross multiply
    218,652.84x = 327,849.66 × 76,429.80
  4. Step 4: Simplify right side
    218,652.84x = 25,057,483,943.87
  5. Step 5: Solve for x
    x = 25,057,483,943.87/218,652.84
  6. Step 6: Final answer
    x = 114,599.40

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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.