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Finding the Fourth Proportional to 429,449.20, 643,396.20 and 367,241.20

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Solution

The fourth proportional to 429,449.20, 643,396.20 and 367,241.20 is: 550,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,449.20 : 643,396.20 = 367,241.20 : x
  2. Step 2: Convert to fraction form
    429,449.20/643,396.20 = 367,241.20/x
  3. Step 3: Cross multiply
    429,449.20x = 643,396.20 × 367,241.20
  4. Step 4: Simplify right side
    429,449.20x = 236,281,592,563.44
  5. Step 5: Solve for x
    x = 236,281,592,563.44/429,449.20
  6. Step 6: Final answer
    x = 550,196.84

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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.