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Finding the Fourth Proportional to 284,715.54, 427,147.65 and 85,035.96

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Solution

The fourth proportional to 284,715.54, 427,147.65 and 85,035.96 is: 127,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,715.54 : 427,147.65 = 85,035.96 : x
  2. Step 2: Convert to fraction form
    284,715.54/427,147.65 = 85,035.96/x
  3. Step 3: Cross multiply
    284,715.54x = 427,147.65 × 85,035.96
  4. Step 4: Simplify right side
    284,715.54x = 36,322,910,479.49
  5. Step 5: Solve for x
    x = 36,322,910,479.49/284,715.54
  6. Step 6: Final answer
    x = 127,576.14

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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.