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Finding the Fourth Proportional to 300,721.92, 415,009.90 and 171,695.30

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Solution

The fourth proportional to 300,721.92, 415,009.90 and 171,695.30 is: 236,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,721.92 : 415,009.90 = 171,695.30 : x
  2. Step 2: Convert to fraction form
    300,721.92/415,009.90 = 171,695.30/x
  3. Step 3: Cross multiply
    300,721.92x = 415,009.90 × 171,695.30
  4. Step 4: Simplify right side
    300,721.92x = 71,255,247,905.93
  5. Step 5: Solve for x
    x = 71,255,247,905.93/300,721.92
  6. Step 6: Final answer
    x = 236,947.31

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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.