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Finding the Fourth Proportional to 218,989.92, 328,398 and 74,859.84

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Solution

The fourth proportional to 218,989.92, 328,398 and 74,859.84 is: 112,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,989.92 : 328,398 = 74,859.84 : x
  2. Step 2: Convert to fraction form
    218,989.92/328,398 = 74,859.84/x
  3. Step 3: Cross multiply
    218,989.92x = 328,398 × 74,859.84
  4. Step 4: Simplify right side
    218,989.92x = 24,583,821,736.32
  5. Step 5: Solve for x
    x = 24,583,821,736.32/218,989.92
  6. Step 6: Final answer
    x = 112,260.06

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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.