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Finding the Fourth Proportional to 300,540.32, 414,750.74 and 164,572.10

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Solution

The fourth proportional to 300,540.32, 414,750.74 and 164,572.10 is: 227,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,540.32 : 414,750.74 = 164,572.10 : x
  2. Step 2: Convert to fraction form
    300,540.32/414,750.74 = 164,572.10/x
  3. Step 3: Cross multiply
    300,540.32x = 414,750.74 × 164,572.10
  4. Step 4: Simplify right side
    300,540.32x = 68,256,397,361.74
  5. Step 5: Solve for x
    x = 68,256,397,361.74/300,540.32
  6. Step 6: Final answer
    x = 227,112.28

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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.