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Finding the Fourth Proportional to 356,745.16, 492,289.46 and 203,753.28

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Solution

The fourth proportional to 356,745.16, 492,289.46 and 203,753.28 is: 281,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,745.16 : 492,289.46 = 203,753.28 : x
  2. Step 2: Convert to fraction form
    356,745.16/492,289.46 = 203,753.28/x
  3. Step 3: Cross multiply
    356,745.16x = 492,289.46 × 203,753.28
  4. Step 4: Simplify right side
    356,745.16x = 100,305,592,184.43
  5. Step 5: Solve for x
    x = 100,305,592,184.43/356,745.16
  6. Step 6: Final answer
    x = 281,168.75

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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.