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Finding the Fourth Proportional to 242,399.08, 363,615.20 and 82,409.88

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Solution

The fourth proportional to 242,399.08, 363,615.20 and 82,409.88 is: 123,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,399.08 : 363,615.20 = 82,409.88 : x
  2. Step 2: Convert to fraction form
    242,399.08/363,615.20 = 82,409.88/x
  3. Step 3: Cross multiply
    242,399.08x = 363,615.20 × 82,409.88
  4. Step 4: Simplify right side
    242,399.08x = 29,965,484,998.18
  5. Step 5: Solve for x
    x = 29,965,484,998.18/242,399.08
  6. Step 6: Final answer
    x = 123,620.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.