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Finding the Fourth Proportional to 308,622.86, 462,971.28 and 108,902

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Solution

The fourth proportional to 308,622.86, 462,971.28 and 108,902 is: 163,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,622.86 : 462,971.28 = 108,902 : x
  2. Step 2: Convert to fraction form
    308,622.86/462,971.28 = 108,902/x
  3. Step 3: Cross multiply
    308,622.86x = 462,971.28 × 108,902
  4. Step 4: Simplify right side
    308,622.86x = 50,418,498,334.56
  5. Step 5: Solve for x
    x = 50,418,498,334.56/308,622.86
  6. Step 6: Final answer
    x = 163,366.05

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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.