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Finding the Fourth Proportional to 398,765.78, 597,632 and 161,979.30

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Solution

The fourth proportional to 398,765.78, 597,632 and 161,979.30 is: 242,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,765.78 : 597,632 = 161,979.30 : x
  2. Step 2: Convert to fraction form
    398,765.78/597,632 = 161,979.30/x
  3. Step 3: Cross multiply
    398,765.78x = 597,632 × 161,979.30
  4. Step 4: Simplify right side
    398,765.78x = 96,804,013,017.60
  5. Step 5: Solve for x
    x = 96,804,013,017.60/398,765.78
  6. Step 6: Final answer
    x = 242,759.08

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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.