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Finding the Fourth Proportional to 218,811.40, 328,022.70 and 129,970.60

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Solution

The fourth proportional to 218,811.40, 328,022.70 and 129,970.60 is: 194,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,811.40 : 328,022.70 = 129,970.60 : x
  2. Step 2: Convert to fraction form
    218,811.40/328,022.70 = 129,970.60/x
  3. Step 3: Cross multiply
    218,811.40x = 328,022.70 × 129,970.60
  4. Step 4: Simplify right side
    218,811.40x = 42,633,307,132.62
  5. Step 5: Solve for x
    x = 42,633,307,132.62/218,811.40
  6. Step 6: Final answer
    x = 194,840.43

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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.