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Finding the Fourth Proportional to 284,778.72, 427,192.68 and 74,416.56

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Solution

The fourth proportional to 284,778.72, 427,192.68 and 74,416.56 is: 111,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778.72 : 427,192.68 = 74,416.56 : x
  2. Step 2: Convert to fraction form
    284,778.72/427,192.68 = 74,416.56/x
  3. Step 3: Cross multiply
    284,778.72x = 427,192.68 × 74,416.56
  4. Step 4: Simplify right side
    284,778.72x = 31,790,209,702.78
  5. Step 5: Solve for x
    x = 31,790,209,702.78/284,778.72
  6. Step 6: Final answer
    x = 111,631.27

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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.