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Finding the Fourth Proportional to 298,753, 412,287.78 and 164,625.64

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Solution

The fourth proportional to 298,753, 412,287.78 and 164,625.64 is: 227,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,753 : 412,287.78 = 164,625.64 : x
  2. Step 2: Convert to fraction form
    298,753/412,287.78 = 164,625.64/x
  3. Step 3: Cross multiply
    298,753x = 412,287.78 × 164,625.64
  4. Step 4: Simplify right side
    298,753x = 67,873,139,646.68
  5. Step 5: Solve for x
    x = 67,873,139,646.68/298,753
  6. Step 6: Final answer
    x = 227,188.14

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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.