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Finding the Fourth Proportional to 300,493.90, 414,665.79 and 164,501.78

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Solution

The fourth proportional to 300,493.90, 414,665.79 and 164,501.78 is: 227,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,493.90 : 414,665.79 = 164,501.78 : x
  2. Step 2: Convert to fraction form
    300,493.90/414,665.79 = 164,501.78/x
  3. Step 3: Cross multiply
    300,493.90x = 414,665.79 × 164,501.78
  4. Step 4: Simplify right side
    300,493.90x = 68,213,260,560.11
  5. Step 5: Solve for x
    x = 68,213,260,560.11/300,493.90
  6. Step 6: Final answer
    x = 227,003.81

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1.5x scale

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.