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Finding the Fourth Proportional to 859,859.32, 1,289,801.72 and 327,409.86

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Solution

The fourth proportional to 859,859.32, 1,289,801.72 and 327,409.86 is: 491,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,859.32 : 1,289,801.72 = 327,409.86 : x
  2. Step 2: Convert to fraction form
    859,859.32/1,289,801.72 = 327,409.86/x
  3. Step 3: Cross multiply
    859,859.32x = 1,289,801.72 × 327,409.86
  4. Step 4: Simplify right side
    859,859.32x = 422,293,800,572.96
  5. Step 5: Solve for x
    x = 422,293,800,572.96/859,859.32
  6. Step 6: Final answer
    x = 491,119.64

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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.