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Finding the Fourth Proportional to 381,174.66, 571,814.69 and 128,527.43

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Solution

The fourth proportional to 381,174.66, 571,814.69 and 128,527.43 is: 192,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,174.66 : 571,814.69 = 128,527.43 : x
  2. Step 2: Convert to fraction form
    381,174.66/571,814.69 = 128,527.43/x
  3. Step 3: Cross multiply
    381,174.66x = 571,814.69 × 128,527.43
  4. Step 4: Simplify right side
    381,174.66x = 73,493,869,040.24
  5. Step 5: Solve for x
    x = 73,493,869,040.24/381,174.66
  6. Step 6: Final answer
    x = 192,808.91

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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.