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Finding the Fourth Proportional to 284,789.84, 427,210.28 and 82,382.77

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Solution

The fourth proportional to 284,789.84, 427,210.28 and 82,382.77 is: 123,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,789.84 : 427,210.28 = 82,382.77 : x
  2. Step 2: Convert to fraction form
    284,789.84/427,210.28 = 82,382.77/x
  3. Step 3: Cross multiply
    284,789.84x = 427,210.28 × 82,382.77
  4. Step 4: Simplify right side
    284,789.84x = 35,194,763,690.91
  5. Step 5: Solve for x
    x = 35,194,763,690.91/284,789.84
  6. Step 6: Final answer
    x = 123,581.53

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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.