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Finding the Fourth Proportional to 408,568.56, 612,852.84 and 128,108.40

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Solution

The fourth proportional to 408,568.56, 612,852.84 and 128,108.40 is: 192,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,568.56 : 612,852.84 = 128,108.40 : x
  2. Step 2: Convert to fraction form
    408,568.56/612,852.84 = 128,108.40/x
  3. Step 3: Cross multiply
    408,568.56x = 612,852.84 × 128,108.40
  4. Step 4: Simplify right side
    408,568.56x = 78,511,596,767.86
  5. Step 5: Solve for x
    x = 78,511,596,767.86/408,568.56
  6. Step 6: Final answer
    x = 192,162.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.