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Finding the Fourth Proportional to 284,790.84, 427,211.78 and 82,383.77

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Solution

The fourth proportional to 284,790.84, 427,211.78 and 82,383.77 is: 123,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,790.84 : 427,211.78 = 82,383.77 : x
  2. Step 2: Convert to fraction form
    284,790.84/427,211.78 = 82,383.77/x
  3. Step 3: Cross multiply
    284,790.84x = 427,211.78 × 82,383.77
  4. Step 4: Simplify right side
    284,790.84x = 35,195,317,024.81
  5. Step 5: Solve for x
    x = 35,195,317,024.81/284,790.84
  6. Step 6: Final answer
    x = 123,583.04

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1.5x scale

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.