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Finding the Fourth Proportional to 384,463.20, 576,694.72 and 279,947.28

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Solution

The fourth proportional to 384,463.20, 576,694.72 and 279,947.28 is: 419,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,463.20 : 576,694.72 = 279,947.28 : x
  2. Step 2: Convert to fraction form
    384,463.20/576,694.72 = 279,947.28/x
  3. Step 3: Cross multiply
    384,463.20x = 576,694.72 × 279,947.28
  4. Step 4: Simplify right side
    384,463.20x = 161,444,118,254.36
  5. Step 5: Solve for x
    x = 161,444,118,254.36/384,463.20
  6. Step 6: Final answer
    x = 419,920.86

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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.