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Finding the Fourth Proportional to 218,811.60, 328,217.40 and 140,014.80

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Solution

The fourth proportional to 218,811.60, 328,217.40 and 140,014.80 is: 210,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,811.60 : 328,217.40 = 140,014.80 : x
  2. Step 2: Convert to fraction form
    218,811.60/328,217.40 = 140,014.80/x
  3. Step 3: Cross multiply
    218,811.60x = 328,217.40 × 140,014.80
  4. Step 4: Simplify right side
    218,811.60x = 45,955,293,617.52
  5. Step 5: Solve for x
    x = 45,955,293,617.52/218,811.60
  6. Step 6: Final answer
    x = 210,022.20

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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.