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Finding the Fourth Proportional to 423,643.56, 635,157.60 and 198,888.36

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Solution

The fourth proportional to 423,643.56, 635,157.60 and 198,888.36 is: 298,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,643.56 : 635,157.60 = 198,888.36 : x
  2. Step 2: Convert to fraction form
    423,643.56/635,157.60 = 198,888.36/x
  3. Step 3: Cross multiply
    423,643.56x = 635,157.60 × 198,888.36
  4. Step 4: Simplify right side
    423,643.56x = 126,325,453,405.54
  5. Step 5: Solve for x
    x = 126,325,453,405.54/423,643.56
  6. Step 6: Final answer
    x = 298,188.06

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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.