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Finding the Fourth Proportional to 361,184.43, 498,439.77 and 208,219.77

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Solution

The fourth proportional to 361,184.43, 498,439.77 and 208,219.77 is: 287,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,184.43 : 498,439.77 = 208,219.77 : x
  2. Step 2: Convert to fraction form
    361,184.43/498,439.77 = 208,219.77/x
  3. Step 3: Cross multiply
    361,184.43x = 498,439.77 × 208,219.77
  4. Step 4: Simplify right side
    361,184.43x = 103,785,014,268.25
  5. Step 5: Solve for x
    x = 103,785,014,268.25/361,184.43
  6. Step 6: Final answer
    x = 287,346.31

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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.