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Finding the Fourth Proportional to 390,786.86, 585,874.07 and 154,306.55

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Solution

The fourth proportional to 390,786.86, 585,874.07 and 154,306.55 is: 231,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,786.86 : 585,874.07 = 154,306.55 : x
  2. Step 2: Convert to fraction form
    390,786.86/585,874.07 = 154,306.55/x
  3. Step 3: Cross multiply
    390,786.86x = 585,874.07 × 154,306.55
  4. Step 4: Simplify right side
    390,786.86x = 90,404,202,775.26
  5. Step 5: Solve for x
    x = 90,404,202,775.26/390,786.86
  6. Step 6: Final answer
    x = 231,338.90

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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.