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Finding the Fourth Proportional to 361,187.68, 498,433.96 and 208,226.17

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Solution

The fourth proportional to 361,187.68, 498,433.96 and 208,226.17 is: 287,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,187.68 : 498,433.96 = 208,226.17 : x
  2. Step 2: Convert to fraction form
    361,187.68/498,433.96 = 208,226.17/x
  3. Step 3: Cross multiply
    361,187.68x = 498,433.96 × 208,226.17
  4. Step 4: Simplify right side
    361,187.68x = 103,786,994,488.73
  5. Step 5: Solve for x
    x = 103,786,994,488.73/361,187.68
  6. Step 6: Final answer
    x = 287,349.21

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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.