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Finding the Fourth Proportional to 392,015.60, 587,281.44 and 231,611.84

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Solution

The fourth proportional to 392,015.60, 587,281.44 and 231,611.84 is: 346,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,015.60 : 587,281.44 = 231,611.84 : x
  2. Step 2: Convert to fraction form
    392,015.60/587,281.44 = 231,611.84/x
  3. Step 3: Cross multiply
    392,015.60x = 587,281.44 × 231,611.84
  4. Step 4: Simplify right side
    392,015.60x = 136,021,334,916.25
  5. Step 5: Solve for x
    x = 136,021,334,916.25/392,015.60
  6. Step 6: Final answer
    x = 346,979.39

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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.