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Finding the Fourth Proportional to 391,282.75, 587,124.29 and 186,349.42

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Solution

The fourth proportional to 391,282.75, 587,124.29 and 186,349.42 is: 279,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,282.75 : 587,124.29 = 186,349.42 : x
  2. Step 2: Convert to fraction form
    391,282.75/587,124.29 = 186,349.42/x
  3. Step 3: Cross multiply
    391,282.75x = 587,124.29 × 186,349.42
  4. Step 4: Simplify right side
    391,282.75x = 109,410,269,907.48
  5. Step 5: Solve for x
    x = 109,410,269,907.48/391,282.75
  6. Step 6: Final answer
    x = 279,619.46

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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.