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Finding the Fourth Proportional to 284,576.94, 426,865.23 and 85,037.31

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Solution

The fourth proportional to 284,576.94, 426,865.23 and 85,037.31 is: 127,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,576.94 : 426,865.23 = 85,037.31 : x
  2. Step 2: Convert to fraction form
    284,576.94/426,865.23 = 85,037.31/x
  3. Step 3: Cross multiply
    284,576.94x = 426,865.23 × 85,037.31
  4. Step 4: Simplify right side
    284,576.94x = 36,299,470,891.73
  5. Step 5: Solve for x
    x = 36,299,470,891.73/284,576.94
  6. Step 6: Final answer
    x = 127,555.91

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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.