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Finding the Fourth Proportional to 401,408.39, 601,962.56 and 161,441.30

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Solution

The fourth proportional to 401,408.39, 601,962.56 and 161,441.30 is: 242,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,408.39 : 601,962.56 = 161,441.30 : x
  2. Step 2: Convert to fraction form
    401,408.39/601,962.56 = 161,441.30/x
  3. Step 3: Cross multiply
    401,408.39x = 601,962.56 × 161,441.30
  4. Step 4: Simplify right side
    401,408.39x = 97,181,618,237.73
  5. Step 5: Solve for x
    x = 97,181,618,237.73/401,408.39
  6. Step 6: Final answer
    x = 242,101.61

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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.