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Finding the Fourth Proportional to 218,655.30, 328,040.55 and 78,399.30

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Solution

The fourth proportional to 218,655.30, 328,040.55 and 78,399.30 is: 117,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,655.30 : 328,040.55 = 78,399.30 : x
  2. Step 2: Convert to fraction form
    218,655.30/328,040.55 = 78,399.30/x
  3. Step 3: Cross multiply
    218,655.30x = 328,040.55 × 78,399.30
  4. Step 4: Simplify right side
    218,655.30x = 25,718,149,491.62
  5. Step 5: Solve for x
    x = 25,718,149,491.62/218,655.30
  6. Step 6: Final answer
    x = 117,619.60

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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.