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Finding the Fourth Proportional to 381,338.66, 571,783.70 and 144,697.97

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Solution

The fourth proportional to 381,338.66, 571,783.70 and 144,697.97 is: 216,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,338.66 : 571,783.70 = 144,697.97 : x
  2. Step 2: Convert to fraction form
    381,338.66/571,783.70 = 144,697.97/x
  3. Step 3: Cross multiply
    381,338.66x = 571,783.70 × 144,697.97
  4. Step 4: Simplify right side
    381,338.66x = 82,735,937,086.68
  5. Step 5: Solve for x
    x = 82,735,937,086.68/381,338.66
  6. Step 6: Final answer
    x = 216,961.84

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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.