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Finding the Fourth Proportional to 279,767.94, 419,775.96 and 146,616.58

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Solution

The fourth proportional to 279,767.94, 419,775.96 and 146,616.58 is: 219,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,767.94 : 419,775.96 = 146,616.58 : x
  2. Step 2: Convert to fraction form
    279,767.94/419,775.96 = 146,616.58/x
  3. Step 3: Cross multiply
    279,767.94x = 419,775.96 × 146,616.58
  4. Step 4: Simplify right side
    279,767.94x = 61,546,115,621.42
  5. Step 5: Solve for x
    x = 61,546,115,621.42/279,767.94
  6. Step 6: Final answer
    x = 219,989.88

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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.