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Finding the Fourth Proportional to 299,425.60, 449,138.40 and 274,931.20

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Solution

The fourth proportional to 299,425.60, 449,138.40 and 274,931.20 is: 412,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,425.60 : 449,138.40 = 274,931.20 : x
  2. Step 2: Convert to fraction form
    299,425.60/449,138.40 = 274,931.20/x
  3. Step 3: Cross multiply
    299,425.60x = 449,138.40 × 274,931.20
  4. Step 4: Simplify right side
    299,425.60x = 123,482,159,278.08
  5. Step 5: Solve for x
    x = 123,482,159,278.08/299,425.60
  6. Step 6: Final answer
    x = 412,396.80

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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.