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Finding the Fourth Proportional to 284,861.77, 427,502.59 and 135,102.49

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Solution

The fourth proportional to 284,861.77, 427,502.59 and 135,102.49 is: 202,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,861.77 : 427,502.59 = 135,102.49 : x
  2. Step 2: Convert to fraction form
    284,861.77/427,502.59 = 135,102.49/x
  3. Step 3: Cross multiply
    284,861.77x = 427,502.59 × 135,102.49
  4. Step 4: Simplify right side
    284,861.77x = 57,756,662,983.94
  5. Step 5: Solve for x
    x = 57,756,662,983.94/284,861.77
  6. Step 6: Final answer
    x = 202,753.30

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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.