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Finding the Fourth Proportional to 308,626.86, 462,977.28 and 108,906

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Solution

The fourth proportional to 308,626.86, 462,977.28 and 108,906 is: 163,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,626.86 : 462,977.28 = 108,906 : x
  2. Step 2: Convert to fraction form
    308,626.86/462,977.28 = 108,906/x
  3. Step 3: Cross multiply
    308,626.86x = 462,977.28 × 108,906
  4. Step 4: Simplify right side
    308,626.86x = 50,421,003,655.68
  5. Step 5: Solve for x
    x = 50,421,003,655.68/308,626.86
  6. Step 6: Final answer
    x = 163,372.05

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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.