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Finding the Fourth Proportional to 380,861.09, 571,347 and 203,271.22

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Solution

The fourth proportional to 380,861.09, 571,347 and 203,271.22 is: 304,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,861.09 : 571,347 = 203,271.22 : x
  2. Step 2: Convert to fraction form
    380,861.09/571,347 = 203,271.22/x
  3. Step 3: Cross multiply
    380,861.09x = 571,347 × 203,271.22
  4. Step 4: Simplify right side
    380,861.09x = 116,138,400,304.97
  5. Step 5: Solve for x
    x = 116,138,400,304.97/380,861.09
  6. Step 6: Final answer
    x = 304,936.38

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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.