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Finding the Fourth Proportional to 659,212.80, 989,078.40 and 259,785.60

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Solution

The fourth proportional to 659,212.80, 989,078.40 and 259,785.60 is: 389,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,212.80 : 989,078.40 = 259,785.60 : x
  2. Step 2: Convert to fraction form
    659,212.80/989,078.40 = 259,785.60/x
  3. Step 3: Cross multiply
    659,212.80x = 989,078.40 × 259,785.60
  4. Step 4: Simplify right side
    659,212.80x = 256,948,325,591.04
  5. Step 5: Solve for x
    x = 256,948,325,591.04/659,212.80
  6. Step 6: Final answer
    x = 389,780.55

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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.