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Finding the Fourth Proportional to 262,873.60, 394,310.40 and 157,811.20

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Solution

The fourth proportional to 262,873.60, 394,310.40 and 157,811.20 is: 236,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,873.60 : 394,310.40 = 157,811.20 : x
  2. Step 2: Convert to fraction form
    262,873.60/394,310.40 = 157,811.20/x
  3. Step 3: Cross multiply
    262,873.60x = 394,310.40 × 157,811.20
  4. Step 4: Simplify right side
    262,873.60x = 62,226,597,396.48
  5. Step 5: Solve for x
    x = 62,226,597,396.48/262,873.60
  6. Step 6: Final answer
    x = 236,716.80

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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.