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Finding the Fourth Proportional to 381,029, 571,499.58 and 100,568.12

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Solution

The fourth proportional to 381,029, 571,499.58 and 100,568.12 is: 150,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,029 : 571,499.58 = 100,568.12 : x
  2. Step 2: Convert to fraction form
    381,029/571,499.58 = 100,568.12/x
  3. Step 3: Cross multiply
    381,029x = 571,499.58 × 100,568.12
  4. Step 4: Simplify right side
    381,029x = 57,474,638,341.39
  5. Step 5: Solve for x
    x = 57,474,638,341.39/381,029
  6. Step 6: Final answer
    x = 150,840.59

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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.