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Finding the Fourth Proportional to 381,313.28, 571,974 and 115,076.18

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Solution

The fourth proportional to 381,313.28, 571,974 and 115,076.18 is: 172,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,313.28 : 571,974 = 115,076.18 : x
  2. Step 2: Convert to fraction form
    381,313.28/571,974 = 115,076.18/x
  3. Step 3: Cross multiply
    381,313.28x = 571,974 × 115,076.18
  4. Step 4: Simplify right side
    381,313.28x = 65,820,582,979.32
  5. Step 5: Solve for x
    x = 65,820,582,979.32/381,313.28
  6. Step 6: Final answer
    x = 172,615.50

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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.