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Finding the Fourth Proportional to 218,862.40, 329,168.40 and 196,117.60

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Solution

The fourth proportional to 218,862.40, 329,168.40 and 196,117.60 is: 294,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862.40 : 329,168.40 = 196,117.60 : x
  2. Step 2: Convert to fraction form
    218,862.40/329,168.40 = 196,117.60/x
  3. Step 3: Cross multiply
    218,862.40x = 329,168.40 × 196,117.60
  4. Step 4: Simplify right side
    218,862.40x = 64,555,716,603.84
  5. Step 5: Solve for x
    x = 64,555,716,603.84/218,862.40
  6. Step 6: Final answer
    x = 294,960.29

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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.