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Finding the Fourth Proportional to 300,728.96, 414,999.61 and 164,756.28

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Solution

The fourth proportional to 300,728.96, 414,999.61 and 164,756.28 is: 227,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,728.96 : 414,999.61 = 164,756.28 : x
  2. Step 2: Convert to fraction form
    300,728.96/414,999.61 = 164,756.28/x
  3. Step 3: Cross multiply
    300,728.96x = 414,999.61 × 164,756.28
  4. Step 4: Simplify right side
    300,728.96x = 68,373,791,121.27
  5. Step 5: Solve for x
    x = 68,373,791,121.27/300,728.96
  6. Step 6: Final answer
    x = 227,360.19

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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.