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Finding the Fourth Proportional to 508,912.20, 764,121.60 and 284,720.40

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Solution

The fourth proportional to 508,912.20, 764,121.60 and 284,720.40 is: 427,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,912.20 : 764,121.60 = 284,720.40 : x
  2. Step 2: Convert to fraction form
    508,912.20/764,121.60 = 284,720.40/x
  3. Step 3: Cross multiply
    508,912.20x = 764,121.60 × 284,720.40
  4. Step 4: Simplify right side
    508,912.20x = 217,561,007,600.64
  5. Step 5: Solve for x
    x = 217,561,007,600.64/508,912.20
  6. Step 6: Final answer
    x = 427,502.05

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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.