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Finding the Fourth Proportional to 362,431.28, 543,838.90 and 263,408.78

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Solution

The fourth proportional to 362,431.28, 543,838.90 and 263,408.78 is: 395,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,431.28 : 543,838.90 = 263,408.78 : x
  2. Step 2: Convert to fraction form
    362,431.28/543,838.90 = 263,408.78/x
  3. Step 3: Cross multiply
    362,431.28x = 543,838.90 × 263,408.78
  4. Step 4: Simplify right side
    362,431.28x = 143,251,941,165.54
  5. Step 5: Solve for x
    x = 143,251,941,165.54/362,431.28
  6. Step 6: Final answer
    x = 395,252.70

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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.