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Finding the Fourth Proportional to 381,309.40, 571,967.94 and 115,072.12

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Solution

The fourth proportional to 381,309.40, 571,967.94 and 115,072.12 is: 172,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,309.40 : 571,967.94 = 115,072.12 : x
  2. Step 2: Convert to fraction form
    381,309.40/571,967.94 = 115,072.12/x
  3. Step 3: Cross multiply
    381,309.40x = 571,967.94 × 115,072.12
  4. Step 4: Simplify right side
    381,309.40x = 65,817,563,427.83
  5. Step 5: Solve for x
    x = 65,817,563,427.83/381,309.40
  6. Step 6: Final answer
    x = 172,609.34

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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.