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Finding the Fourth Proportional to 218,879.60, 328,319.40 and 78,642.80

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Solution

The fourth proportional to 218,879.60, 328,319.40 and 78,642.80 is: 117,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,879.60 : 328,319.40 = 78,642.80 : x
  2. Step 2: Convert to fraction form
    218,879.60/328,319.40 = 78,642.80/x
  3. Step 3: Cross multiply
    218,879.60x = 328,319.40 × 78,642.80
  4. Step 4: Simplify right side
    218,879.60x = 25,819,956,910.32
  5. Step 5: Solve for x
    x = 25,819,956,910.32/218,879.60
  6. Step 6: Final answer
    x = 117,964.20

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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.