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Finding the Fourth Proportional to 361,008.96, 498,199.59 and 215,964.33

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Solution

The fourth proportional to 361,008.96, 498,199.59 and 215,964.33 is: 298,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,008.96 : 498,199.59 = 215,964.33 : x
  2. Step 2: Convert to fraction form
    361,008.96/498,199.59 = 215,964.33/x
  3. Step 3: Cross multiply
    361,008.96x = 498,199.59 × 215,964.33
  4. Step 4: Simplify right side
    361,008.96x = 107,593,340,660.63
  5. Step 5: Solve for x
    x = 107,593,340,660.63/361,008.96
  6. Step 6: Final answer
    x = 298,035.10

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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.