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Finding the Fourth Proportional to 392,603.52, 541,654.89 and 256,717

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Solution

The fourth proportional to 392,603.52, 541,654.89 and 256,717 is: 354,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,603.52 : 541,654.89 = 256,717 : x
  2. Step 2: Convert to fraction form
    392,603.52/541,654.89 = 256,717/x
  3. Step 3: Cross multiply
    392,603.52x = 541,654.89 × 256,717
  4. Step 4: Simplify right side
    392,603.52x = 139,052,018,396.13
  5. Step 5: Solve for x
    x = 139,052,018,396.13/392,603.52
  6. Step 6: Final answer
    x = 354,179.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.