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Finding the Fourth Proportional to 423,644.06, 635,158.35 and 198,888.86

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Solution

The fourth proportional to 423,644.06, 635,158.35 and 198,888.86 is: 298,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,644.06 : 635,158.35 = 198,888.86 : x
  2. Step 2: Convert to fraction form
    423,644.06/635,158.35 = 198,888.86/x
  3. Step 3: Cross multiply
    423,644.06x = 635,158.35 × 198,888.86
  4. Step 4: Simplify right side
    423,644.06x = 126,325,920,150.98
  5. Step 5: Solve for x
    x = 126,325,920,150.98/423,644.06
  6. Step 6: Final answer
    x = 298,188.81

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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.