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Finding the Fourth Proportional to 380,553.75, 570,864.34 and 100,071

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Solution

The fourth proportional to 380,553.75, 570,864.34 and 100,071 is: 150,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,553.75 : 570,864.34 = 100,071 : x
  2. Step 2: Convert to fraction form
    380,553.75/570,864.34 = 100,071/x
  3. Step 3: Cross multiply
    380,553.75x = 570,864.34 × 100,071
  4. Step 4: Simplify right side
    380,553.75x = 57,126,965,493.23
  5. Step 5: Solve for x
    x = 57,126,965,493.23/380,553.75
  6. Step 6: Final answer
    x = 150,115.37

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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.