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Finding the Fourth Proportional to 218,323.60, 326,829.30 and 129,531.40

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Solution

The fourth proportional to 218,323.60, 326,829.30 and 129,531.40 is: 193,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,323.60 : 326,829.30 = 129,531.40 : x
  2. Step 2: Convert to fraction form
    218,323.60/326,829.30 = 129,531.40/x
  3. Step 3: Cross multiply
    218,323.60x = 326,829.30 × 129,531.40
  4. Step 4: Simplify right side
    218,323.60x = 42,334,656,790.02
  5. Step 5: Solve for x
    x = 42,334,656,790.02/218,323.60
  6. Step 6: Final answer
    x = 193,907.84

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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.