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Finding the Fourth Proportional to 381,031, 571,502.58 and 100,570.12

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Solution

The fourth proportional to 381,031, 571,502.58 and 100,570.12 is: 150,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,031 : 571,502.58 = 100,570.12 : x
  2. Step 2: Convert to fraction form
    381,031/571,502.58 = 100,570.12/x
  3. Step 3: Cross multiply
    381,031x = 571,502.58 × 100,570.12
  4. Step 4: Simplify right side
    381,031x = 57,476,083,050.91
  5. Step 5: Solve for x
    x = 57,476,083,050.91/381,031
  6. Step 6: Final answer
    x = 150,843.59

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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.