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Finding the Fourth Proportional to 299,081.71, 412,721.35 and 164,945.71

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Solution

The fourth proportional to 299,081.71, 412,721.35 and 164,945.71 is: 227,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,081.71 : 412,721.35 = 164,945.71 : x
  2. Step 2: Convert to fraction form
    299,081.71/412,721.35 = 164,945.71/x
  3. Step 3: Cross multiply
    299,081.71x = 412,721.35 × 164,945.71
  4. Step 4: Simplify right side
    299,081.71x = 68,076,616,107.91
  5. Step 5: Solve for x
    x = 68,076,616,107.91/299,081.71
  6. Step 6: Final answer
    x = 227,618.79

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1.5x scale

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.