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Finding the Fourth Proportional to 284,635.41, 427,023.20 and 200,559.79

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Solution

The fourth proportional to 284,635.41, 427,023.20 and 200,559.79 is: 300,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,635.41 : 427,023.20 = 200,559.79 : x
  2. Step 2: Convert to fraction form
    284,635.41/427,023.20 = 200,559.79/x
  3. Step 3: Cross multiply
    284,635.41x = 427,023.20 × 200,559.79
  4. Step 4: Simplify right side
    284,635.41x = 85,643,683,317.13
  5. Step 5: Solve for x
    x = 85,643,683,317.13/284,635.41
  6. Step 6: Final answer
    x = 300,889.07

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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.