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Finding the Fourth Proportional to 512,686.73, 769,027.67 and 284,875.04

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Solution

The fourth proportional to 512,686.73, 769,027.67 and 284,875.04 is: 427,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,686.73 : 769,027.67 = 284,875.04 : x
  2. Step 2: Convert to fraction form
    512,686.73/769,027.67 = 284,875.04/x
  3. Step 3: Cross multiply
    512,686.73x = 769,027.67 × 284,875.04
  4. Step 4: Simplify right side
    512,686.73x = 219,076,789,818.83
  5. Step 5: Solve for x
    x = 219,076,789,818.83/512,686.73
  6. Step 6: Final answer
    x = 427,311.21

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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.