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Finding the Fourth Proportional to 300,008.40, 414,009.72 and 165,872.40

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Solution

The fourth proportional to 300,008.40, 414,009.72 and 165,872.40 is: 228,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,008.40 : 414,009.72 = 165,872.40 : x
  2. Step 2: Convert to fraction form
    300,008.40/414,009.72 = 165,872.40/x
  3. Step 3: Cross multiply
    300,008.40x = 414,009.72 × 165,872.40
  4. Step 4: Simplify right side
    300,008.40x = 68,672,785,879.73
  5. Step 5: Solve for x
    x = 68,672,785,879.73/300,008.40
  6. Step 6: Final answer
    x = 228,902.88

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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.