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Finding the Fourth Proportional to 209,773.60, 314,660.40 and 200,672.80

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Solution

The fourth proportional to 209,773.60, 314,660.40 and 200,672.80 is: 301,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,773.60 : 314,660.40 = 200,672.80 : x
  2. Step 2: Convert to fraction form
    209,773.60/314,660.40 = 200,672.80/x
  3. Step 3: Cross multiply
    209,773.60x = 314,660.40 × 200,672.80
  4. Step 4: Simplify right side
    209,773.60x = 63,143,783,517.12
  5. Step 5: Solve for x
    x = 63,143,783,517.12/209,773.60
  6. Step 6: Final answer
    x = 301,009.20

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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.