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Finding the Fourth Proportional to 360,998.12, 498,229.54 and 208,007.02

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Solution

The fourth proportional to 360,998.12, 498,229.54 and 208,007.02 is: 287,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,998.12 : 498,229.54 = 208,007.02 : x
  2. Step 2: Convert to fraction form
    360,998.12/498,229.54 = 208,007.02/x
  3. Step 3: Cross multiply
    360,998.12x = 498,229.54 × 208,007.02
  4. Step 4: Simplify right side
    360,998.12x = 103,635,241,891.37
  5. Step 5: Solve for x
    x = 103,635,241,891.37/360,998.12
  6. Step 6: Final answer
    x = 287,079.73

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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.