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Finding the Fourth Proportional to 284,377.30, 426,237.87 and 106,771

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Solution

The fourth proportional to 284,377.30, 426,237.87 and 106,771 is: 160,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,377.30 : 426,237.87 = 106,771 : x
  2. Step 2: Convert to fraction form
    284,377.30/426,237.87 = 106,771/x
  3. Step 3: Cross multiply
    284,377.30x = 426,237.87 × 106,771
  4. Step 4: Simplify right side
    284,377.30x = 45,509,843,617.77
  5. Step 5: Solve for x
    x = 45,509,843,617.77/284,377.30
  6. Step 6: Final answer
    x = 160,033.32

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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.