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Finding the Fourth Proportional to 279,271.78, 418,529.94 and 200,211.46

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Solution

The fourth proportional to 279,271.78, 418,529.94 and 200,211.46 is: 300,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,271.78 : 418,529.94 = 200,211.46 : x
  2. Step 2: Convert to fraction form
    279,271.78/418,529.94 = 200,211.46/x
  3. Step 3: Cross multiply
    279,271.78x = 418,529.94 × 200,211.46
  4. Step 4: Simplify right side
    279,271.78x = 83,794,490,341.11
  5. Step 5: Solve for x
    x = 83,794,490,341.11/279,271.78
  6. Step 6: Final answer
    x = 300,046.39

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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.