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Finding the Fourth Proportional to 398,773.80, 597,644 and 161,987.32

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Solution

The fourth proportional to 398,773.80, 597,644 and 161,987.32 is: 242,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,773.80 : 597,644 = 161,987.32 : x
  2. Step 2: Convert to fraction form
    398,773.80/597,644 = 161,987.32/x
  3. Step 3: Cross multiply
    398,773.80x = 597,644 × 161,987.32
  4. Step 4: Simplify right side
    398,773.80x = 96,810,749,874.08
  5. Step 5: Solve for x
    x = 96,810,749,874.08/398,773.80
  6. Step 6: Final answer
    x = 242,771.09

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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.