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Finding the Fourth Proportional to 391,771.29, 587,657.07 and 107,464.80

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Solution

The fourth proportional to 391,771.29, 587,657.07 and 107,464.80 is: 161,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,771.29 : 587,657.07 = 107,464.80 : x
  2. Step 2: Convert to fraction form
    391,771.29/587,657.07 = 107,464.80/x
  3. Step 3: Cross multiply
    391,771.29x = 587,657.07 × 107,464.80
  4. Step 4: Simplify right side
    391,771.29x = 63,152,449,496.14
  5. Step 5: Solve for x
    x = 63,152,449,496.14/391,771.29
  6. Step 6: Final answer
    x = 161,197.24

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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.