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Finding the Fourth Proportional to 381,330.99, 572,147.15 and 144,736.47

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Solution

The fourth proportional to 381,330.99, 572,147.15 and 144,736.47 is: 217,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,330.99 : 572,147.15 = 144,736.47 : x
  2. Step 2: Convert to fraction form
    381,330.99/572,147.15 = 144,736.47/x
  3. Step 3: Cross multiply
    381,330.99x = 572,147.15 × 144,736.47
  4. Step 4: Simplify right side
    381,330.99x = 82,810,558,087.88
  5. Step 5: Solve for x
    x = 82,810,558,087.88/381,330.99
  6. Step 6: Final answer
    x = 217,161.89

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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.