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Finding the Fourth Proportional to 390,786.11, 585,872.94 and 154,305.80

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Solution

The fourth proportional to 390,786.11, 585,872.94 and 154,305.80 is: 231,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,786.11 : 585,872.94 = 154,305.80 : x
  2. Step 2: Convert to fraction form
    390,786.11/585,872.94 = 154,305.80/x
  3. Step 3: Cross multiply
    390,786.11x = 585,872.94 × 154,305.80
  4. Step 4: Simplify right side
    390,786.11x = 90,403,589,775.69
  5. Step 5: Solve for x
    x = 90,403,589,775.69/390,786.11
  6. Step 6: Final answer
    x = 231,337.78

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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.