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Finding the Fourth Proportional to 391,940.24, 587,847.36 and 107,564.36

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Solution

The fourth proportional to 391,940.24, 587,847.36 and 107,564.36 is: 161,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,940.24 : 587,847.36 = 107,564.36 : x
  2. Step 2: Convert to fraction form
    391,940.24/587,847.36 = 107,564.36/x
  3. Step 3: Cross multiply
    391,940.24x = 587,847.36 × 107,564.36
  4. Step 4: Simplify right side
    391,940.24x = 63,231,425,056.09
  5. Step 5: Solve for x
    x = 63,231,425,056.09/391,940.24
  6. Step 6: Final answer
    x = 161,329.25

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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.