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Finding the Fourth Proportional to 469,883.05, 705,121.08 and 200,010.78

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Solution

The fourth proportional to 469,883.05, 705,121.08 and 200,010.78 is: 300,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,883.05 : 705,121.08 = 200,010.78 : x
  2. Step 2: Convert to fraction form
    469,883.05/705,121.08 = 200,010.78/x
  3. Step 3: Cross multiply
    469,883.05x = 705,121.08 × 200,010.78
  4. Step 4: Simplify right side
    469,883.05x = 141,031,814,320.70
  5. Step 5: Solve for x
    x = 141,031,814,320.70/469,883.05
  6. Step 6: Final answer
    x = 300,142.37

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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.