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Finding the Fourth Proportional to 361,295.76, 498,645 and 218,076.24

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Solution

The fourth proportional to 361,295.76, 498,645 and 218,076.24 is: 300,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,295.76 : 498,645 = 218,076.24 : x
  2. Step 2: Convert to fraction form
    361,295.76/498,645 = 218,076.24/x
  3. Step 3: Cross multiply
    361,295.76x = 498,645 × 218,076.24
  4. Step 4: Simplify right side
    361,295.76x = 108,742,626,694.80
  5. Step 5: Solve for x
    x = 108,742,626,694.80/361,295.76
  6. Step 6: Final answer
    x = 300,979.53

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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.