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Finding the Fourth Proportional to 380,814.34, 571,270.11 and 127,986.34

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Solution

The fourth proportional to 380,814.34, 571,270.11 and 127,986.34 is: 191,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,814.34 : 571,270.11 = 127,986.34 : x
  2. Step 2: Convert to fraction form
    380,814.34/571,270.11 = 127,986.34/x
  3. Step 3: Cross multiply
    380,814.34x = 571,270.11 × 127,986.34
  4. Step 4: Simplify right side
    380,814.34x = 73,114,770,530.30
  5. Step 5: Solve for x
    x = 73,114,770,530.30/380,814.34
  6. Step 6: Final answer
    x = 191,995.84

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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.