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Finding the Fourth Proportional to 228,389.60, 342,892.20 and 133,716.80

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Solution

The fourth proportional to 228,389.60, 342,892.20 and 133,716.80 is: 200,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,389.60 : 342,892.20 = 133,716.80 : x
  2. Step 2: Convert to fraction form
    228,389.60/342,892.20 = 133,716.80/x
  3. Step 3: Cross multiply
    228,389.60x = 342,892.20 × 133,716.80
  4. Step 4: Simplify right side
    228,389.60x = 45,850,447,728.96
  5. Step 5: Solve for x
    x = 45,850,447,728.96/228,389.60
  6. Step 6: Final answer
    x = 200,755.41

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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.