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Finding the Fourth Proportional to 361,310.56, 498,606.96 and 208,348

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Solution

The fourth proportional to 361,310.56, 498,606.96 and 208,348 is: 287,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,310.56 : 498,606.96 = 208,348 : x
  2. Step 2: Convert to fraction form
    361,310.56/498,606.96 = 208,348/x
  3. Step 3: Cross multiply
    361,310.56x = 498,606.96 × 208,348
  4. Step 4: Simplify right side
    361,310.56x = 103,883,762,902.08
  5. Step 5: Solve for x
    x = 103,883,762,902.08/361,310.56
  6. Step 6: Final answer
    x = 287,519.31

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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.