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Finding the Fourth Proportional to 284,776.56, 427,155.12 and 135,088.56

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Solution

The fourth proportional to 284,776.56, 427,155.12 and 135,088.56 is: 202,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,776.56 : 427,155.12 = 135,088.56 : x
  2. Step 2: Convert to fraction form
    284,776.56/427,155.12 = 135,088.56/x
  3. Step 3: Cross multiply
    284,776.56x = 427,155.12 × 135,088.56
  4. Step 4: Simplify right side
    284,776.56x = 57,703,770,057.43
  5. Step 5: Solve for x
    x = 57,703,770,057.43/284,776.56
  6. Step 6: Final answer
    x = 202,628.23

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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.