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Finding the Fourth Proportional to 361,437, 498,769.68 and 208,481.52

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Solution

The fourth proportional to 361,437, 498,769.68 and 208,481.52 is: 287,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,437 : 498,769.68 = 208,481.52 : x
  2. Step 2: Convert to fraction form
    361,437/498,769.68 = 208,481.52/x
  3. Step 3: Cross multiply
    361,437x = 498,769.68 × 208,481.52
  4. Step 4: Simplify right side
    361,437x = 103,984,261,016.31
  5. Step 5: Solve for x
    x = 103,984,261,016.31/361,437
  6. Step 6: Final answer
    x = 287,696.78

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1.5x scale

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.