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Finding the Fourth Proportional to 381,666.82, 571,614.36 and 368,381.20

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Solution

The fourth proportional to 381,666.82, 571,614.36 and 368,381.20 is: 551,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,666.82 : 571,614.36 = 368,381.20 : x
  2. Step 2: Convert to fraction form
    381,666.82/571,614.36 = 368,381.20/x
  3. Step 3: Cross multiply
    381,666.82x = 571,614.36 × 368,381.20
  4. Step 4: Simplify right side
    381,666.82x = 210,571,983,874.03
  5. Step 5: Solve for x
    x = 210,571,983,874.03/381,666.82
  6. Step 6: Final answer
    x = 551,716.77

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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.