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Finding the Fourth Proportional to 214,504.64, 321,338.40 and 140,408

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Solution

The fourth proportional to 214,504.64, 321,338.40 and 140,408 is: 210,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,504.64 : 321,338.40 = 140,408 : x
  2. Step 2: Convert to fraction form
    214,504.64/321,338.40 = 140,408/x
  3. Step 3: Cross multiply
    214,504.64x = 321,338.40 × 140,408
  4. Step 4: Simplify right side
    214,504.64x = 45,118,482,067.20
  5. Step 5: Solve for x
    x = 45,118,482,067.20/214,504.64
  6. Step 6: Final answer
    x = 210,338.02

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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.