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Finding the Fourth Proportional to 218,669.60, 327,226.80 and 200,007.20

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Solution

The fourth proportional to 218,669.60, 327,226.80 and 200,007.20 is: 299,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,669.60 : 327,226.80 = 200,007.20 : x
  2. Step 2: Convert to fraction form
    218,669.60/327,226.80 = 200,007.20/x
  3. Step 3: Cross multiply
    218,669.60x = 327,226.80 × 200,007.20
  4. Step 4: Simplify right side
    218,669.60x = 65,447,716,032.96
  5. Step 5: Solve for x
    x = 65,447,716,032.96/218,669.60
  6. Step 6: Final answer
    x = 299,299.56

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1.5x scale

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.