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Finding the Fourth Proportional to 299,040.72, 412,668.69 and 163,077.29

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Solution

The fourth proportional to 299,040.72, 412,668.69 and 163,077.29 is: 225,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,040.72 : 412,668.69 = 163,077.29 : x
  2. Step 2: Convert to fraction form
    299,040.72/412,668.69 = 163,077.29/x
  3. Step 3: Cross multiply
    299,040.72x = 412,668.69 × 163,077.29
  4. Step 4: Simplify right side
    299,040.72x = 67,296,889,569.71
  5. Step 5: Solve for x
    x = 67,296,889,569.71/299,040.72
  6. Step 6: Final answer
    x = 225,042.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.