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Finding the Fourth Proportional to 401,011.17, 601,469.93 and 161,115.36

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Solution

The fourth proportional to 401,011.17, 601,469.93 and 161,115.36 is: 241,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,011.17 : 601,469.93 = 161,115.36 : x
  2. Step 2: Convert to fraction form
    401,011.17/601,469.93 = 161,115.36/x
  3. Step 3: Cross multiply
    401,011.17x = 601,469.93 × 161,115.36
  4. Step 4: Simplify right side
    401,011.17x = 96,906,044,301.12
  5. Step 5: Solve for x
    x = 96,906,044,301.12/401,011.17
  6. Step 6: Final answer
    x = 241,654.23

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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.