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Finding the Fourth Proportional to 361,329.79, 498,704.85 and 208,466.68

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Solution

The fourth proportional to 361,329.79, 498,704.85 and 208,466.68 is: 287,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,329.79 : 498,704.85 = 208,466.68 : x
  2. Step 2: Convert to fraction form
    361,329.79/498,704.85 = 208,466.68/x
  3. Step 3: Cross multiply
    361,329.79x = 498,704.85 × 208,466.68
  4. Step 4: Simplify right side
    361,329.79x = 103,963,344,379.40
  5. Step 5: Solve for x
    x = 103,963,344,379.40/361,329.79
  6. Step 6: Final answer
    x = 287,724.25

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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.