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Finding the Fourth Proportional to 299,140, 412,842.36 and 165,004

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Solution

The fourth proportional to 299,140, 412,842.36 and 165,004 is: 227,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140 : 412,842.36 = 165,004 : x
  2. Step 2: Convert to fraction form
    299,140/412,842.36 = 165,004/x
  3. Step 3: Cross multiply
    299,140x = 412,842.36 × 165,004
  4. Step 4: Simplify right side
    299,140x = 68,120,640,769.44
  5. Step 5: Solve for x
    x = 68,120,640,769.44/299,140
  6. Step 6: Final answer
    x = 227,721.60

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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.