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Finding the Fourth Proportional to 279,074.94, 418,823.08 and 204,388.72

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Solution

The fourth proportional to 279,074.94, 418,823.08 and 204,388.72 is: 306,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,074.94 : 418,823.08 = 204,388.72 : x
  2. Step 2: Convert to fraction form
    279,074.94/418,823.08 = 204,388.72/x
  3. Step 3: Cross multiply
    279,074.94x = 418,823.08 × 204,388.72
  4. Step 4: Simplify right side
    279,074.94x = 85,602,713,738.63
  5. Step 5: Solve for x
    x = 85,602,713,738.63/279,074.94
  6. Step 6: Final answer
    x = 306,737.37

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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.