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Finding the Fourth Proportional to 464,116.43, 640,469.13 and 257,383.61

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Solution

The fourth proportional to 464,116.43, 640,469.13 and 257,383.61 is: 355,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,116.43 : 640,469.13 = 257,383.61 : x
  2. Step 2: Convert to fraction form
    464,116.43/640,469.13 = 257,383.61/x
  3. Step 3: Cross multiply
    464,116.43x = 640,469.13 × 257,383.61
  4. Step 4: Simplify right side
    464,116.43x = 164,846,255,007.18
  5. Step 5: Solve for x
    x = 164,846,255,007.18/464,116.43
  6. Step 6: Final answer
    x = 355,182.97

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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.