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Finding the Fourth Proportional to 381,663.82, 571,609.86 and 368,378.20

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Solution

The fourth proportional to 381,663.82, 571,609.86 and 368,378.20 is: 551,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,663.82 : 571,609.86 = 368,378.20 : x
  2. Step 2: Convert to fraction form
    381,663.82/571,609.86 = 368,378.20/x
  3. Step 3: Cross multiply
    381,663.82x = 571,609.86 × 368,378.20
  4. Step 4: Simplify right side
    381,663.82x = 210,568,611,329.05
  5. Step 5: Solve for x
    x = 210,568,611,329.05/381,663.82
  6. Step 6: Final answer
    x = 551,712.27

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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.