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Finding the Fourth Proportional to 381,047.58, 571,609.64 and 100,564.83

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Solution

The fourth proportional to 381,047.58, 571,609.64 and 100,564.83 is: 150,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,047.58 : 571,609.64 = 100,564.83 : x
  2. Step 2: Convert to fraction form
    381,047.58/571,609.64 = 100,564.83/x
  3. Step 3: Cross multiply
    381,047.58x = 571,609.64 × 100,564.83
  4. Step 4: Simplify right side
    381,047.58x = 57,483,825,770.14
  5. Step 5: Solve for x
    x = 57,483,825,770.14/381,047.58
  6. Step 6: Final answer
    x = 150,857.34

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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.