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Finding the Fourth Proportional to 284,640.17, 427,030.32 and 200,564.51

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Solution

The fourth proportional to 284,640.17, 427,030.32 and 200,564.51 is: 300,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640.17 : 427,030.32 = 200,564.51 : x
  2. Step 2: Convert to fraction form
    284,640.17/427,030.32 = 200,564.51/x
  3. Step 3: Cross multiply
    284,640.17x = 427,030.32 × 200,564.51
  4. Step 4: Simplify right side
    284,640.17x = 85,647,124,750.79
  5. Step 5: Solve for x
    x = 85,647,124,750.79/284,640.17
  6. Step 6: Final answer
    x = 300,896.13

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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.