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Finding the Fourth Proportional to 284,633.35, 427,020.10 and 200,557.72

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Solution

The fourth proportional to 284,633.35, 427,020.10 and 200,557.72 is: 300,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,633.35 : 427,020.10 = 200,557.72 : x
  2. Step 2: Convert to fraction form
    284,633.35/427,020.10 = 200,557.72/x
  3. Step 3: Cross multiply
    284,633.35x = 427,020.10 × 200,557.72
  4. Step 4: Simplify right side
    284,633.35x = 85,642,177,650.17
  5. Step 5: Solve for x
    x = 85,642,177,650.17/284,633.35
  6. Step 6: Final answer
    x = 300,885.96

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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.