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Finding the Fourth Proportional to 235,261.80, 351,920.70 and 214,499.88

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Solution

The fourth proportional to 235,261.80, 351,920.70 and 214,499.88 is: 320,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,261.80 : 351,920.70 = 214,499.88 : x
  2. Step 2: Convert to fraction form
    235,261.80/351,920.70 = 214,499.88/x
  3. Step 3: Cross multiply
    235,261.80x = 351,920.70 × 214,499.88
  4. Step 4: Simplify right side
    235,261.80x = 75,486,947,919.52
  5. Step 5: Solve for x
    x = 75,486,947,919.52/235,261.80
  6. Step 6: Final answer
    x = 320,863.60

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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.