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Finding the Fourth Proportional to 401,011.29, 601,470.10 and 161,115.51

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Solution

The fourth proportional to 401,011.29, 601,470.10 and 161,115.51 is: 241,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,011.29 : 601,470.10 = 161,115.51 : x
  2. Step 2: Convert to fraction form
    401,011.29/601,470.10 = 161,115.51/x
  3. Step 3: Cross multiply
    401,011.29x = 601,470.10 × 161,115.51
  4. Step 4: Simplify right side
    401,011.29x = 96,906,161,105.67
  5. Step 5: Solve for x
    x = 96,906,161,105.67/401,011.29
  6. Step 6: Final answer
    x = 241,654.45

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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.