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Finding the Fourth Proportional to 389,604.60, 584,115.30 and 212,311.80

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Solution

The fourth proportional to 389,604.60, 584,115.30 and 212,311.80 is: 318,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,604.60 : 584,115.30 = 212,311.80 : x
  2. Step 2: Convert to fraction form
    389,604.60/584,115.30 = 212,311.80/x
  3. Step 3: Cross multiply
    389,604.60x = 584,115.30 × 212,311.80
  4. Step 4: Simplify right side
    389,604.60x = 124,014,570,750.54
  5. Step 5: Solve for x
    x = 124,014,570,750.54/389,604.60
  6. Step 6: Final answer
    x = 318,308.79

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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.