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Finding the Fourth Proportional to 218,634.80, 328,009.80 and 78,378.80

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Solution

The fourth proportional to 218,634.80, 328,009.80 and 78,378.80 is: 117,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,634.80 : 328,009.80 = 78,378.80 : x
  2. Step 2: Convert to fraction form
    218,634.80/328,009.80 = 78,378.80/x
  3. Step 3: Cross multiply
    218,634.80x = 328,009.80 × 78,378.80
  4. Step 4: Simplify right side
    218,634.80x = 25,709,014,512.24
  5. Step 5: Solve for x
    x = 25,709,014,512.24/218,634.80
  6. Step 6: Final answer
    x = 117,588.85

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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.