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Finding the Fourth Proportional to 378,395.54, 522,189.37 and 208,635.70

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Solution

The fourth proportional to 378,395.54, 522,189.37 and 208,635.70 is: 287,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,395.54 : 522,189.37 = 208,635.70 : x
  2. Step 2: Convert to fraction form
    378,395.54/522,189.37 = 208,635.70/x
  3. Step 3: Cross multiply
    378,395.54x = 522,189.37 × 208,635.70
  4. Step 4: Simplify right side
    378,395.54x = 108,947,344,742.51
  5. Step 5: Solve for x
    x = 108,947,344,742.51/378,395.54
  6. Step 6: Final answer
    x = 287,919.21

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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.