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Finding the Fourth Proportional to 284,907.78, 427,240.17 and 85,224.96

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Solution

The fourth proportional to 284,907.78, 427,240.17 and 85,224.96 is: 127,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,907.78 : 427,240.17 = 85,224.96 : x
  2. Step 2: Convert to fraction form
    284,907.78/427,240.17 = 85,224.96/x
  3. Step 3: Cross multiply
    284,907.78x = 427,240.17 × 85,224.96
  4. Step 4: Simplify right side
    284,907.78x = 36,411,526,398.64
  5. Step 5: Solve for x
    x = 36,411,526,398.64/284,907.78
  6. Step 6: Final answer
    x = 127,801.10

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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.