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Finding the Fourth Proportional to 218,879.60, 328,319.40 and 148,377.20

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Solution

The fourth proportional to 218,879.60, 328,319.40 and 148,377.20 is: 222,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,879.60 : 328,319.40 = 148,377.20 : x
  2. Step 2: Convert to fraction form
    218,879.60/328,319.40 = 148,377.20/x
  3. Step 3: Cross multiply
    218,879.60x = 328,319.40 × 148,377.20
  4. Step 4: Simplify right side
    218,879.60x = 48,715,113,277.68
  5. Step 5: Solve for x
    x = 48,715,113,277.68/218,879.60
  6. Step 6: Final answer
    x = 222,565.80

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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.