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Finding the Fourth Proportional to 381,006.32, 571,151.86 and 128,109.94

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Solution

The fourth proportional to 381,006.32, 571,151.86 and 128,109.94 is: 192,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,006.32 : 571,151.86 = 128,109.94 : x
  2. Step 2: Convert to fraction form
    381,006.32/571,151.86 = 128,109.94/x
  3. Step 3: Cross multiply
    381,006.32x = 571,151.86 × 128,109.94
  4. Step 4: Simplify right side
    381,006.32x = 73,170,228,767.33
  5. Step 5: Solve for x
    x = 73,170,228,767.33/381,006.32
  6. Step 6: Final answer
    x = 192,044.66

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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.