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Finding the Fourth Proportional to 393,996.69, 591,053.36 and 144,659.25

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Solution

The fourth proportional to 393,996.69, 591,053.36 and 144,659.25 is: 217,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,996.69 : 591,053.36 = 144,659.25 : x
  2. Step 2: Convert to fraction form
    393,996.69/591,053.36 = 144,659.25/x
  3. Step 3: Cross multiply
    393,996.69x = 591,053.36 × 144,659.25
  4. Step 4: Simplify right side
    393,996.69x = 85,501,335,044.28
  5. Step 5: Solve for x
    x = 85,501,335,044.28/393,996.69
  6. Step 6: Final answer
    x = 217,010.29

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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.