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Finding the Fourth Proportional to 401,010.78, 601,469.35 and 161,115.01

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Solution

The fourth proportional to 401,010.78, 601,469.35 and 161,115.01 is: 241,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,010.78 : 601,469.35 = 161,115.01 : x
  2. Step 2: Convert to fraction form
    401,010.78/601,469.35 = 161,115.01/x
  3. Step 3: Cross multiply
    401,010.78x = 601,469.35 × 161,115.01
  4. Step 4: Simplify right side
    401,010.78x = 96,905,738,433.48
  5. Step 5: Solve for x
    x = 96,905,738,433.48/401,010.78
  6. Step 6: Final answer
    x = 241,653.70

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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.