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Finding the Fourth Proportional to 378,318.94, 567,353.77 and 138,378.31

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Solution

The fourth proportional to 378,318.94, 567,353.77 and 138,378.31 is: 207,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,318.94 : 567,353.77 = 138,378.31 : x
  2. Step 2: Convert to fraction form
    378,318.94/567,353.77 = 138,378.31/x
  3. Step 3: Cross multiply
    378,318.94x = 567,353.77 × 138,378.31
  4. Step 4: Simplify right side
    378,318.94x = 78,509,454,100.40
  5. Step 5: Solve for x
    x = 78,509,454,100.40/378,318.94
  6. Step 6: Final answer
    x = 207,521.87

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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.