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Finding the Fourth Proportional to 300,688.88, 414,960.98 and 164,722.78

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Solution

The fourth proportional to 300,688.88, 414,960.98 and 164,722.78 is: 227,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,688.88 : 414,960.98 = 164,722.78 : x
  2. Step 2: Convert to fraction form
    300,688.88/414,960.98 = 164,722.78/x
  3. Step 3: Cross multiply
    300,688.88x = 414,960.98 × 164,722.78
  4. Step 4: Simplify right side
    300,688.88x = 68,353,526,217.12
  5. Step 5: Solve for x
    x = 68,353,526,217.12/300,688.88
  6. Step 6: Final answer
    x = 227,323.09

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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.