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Finding the Fourth Proportional to 457,900, 631,902 and 256,696

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Solution

The fourth proportional to 457,900, 631,902 and 256,696 is: 354,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,900 : 631,902 = 256,696 : x
  2. Step 2: Convert to fraction form
    457,900/631,902 = 256,696/x
  3. Step 3: Cross multiply
    457,900x = 631,902 × 256,696
  4. Step 4: Simplify right side
    457,900x = 162,206,715,792
  5. Step 5: Solve for x
    x = 162,206,715,792/457,900
  6. Step 6: Final answer
    x = 354,240.48

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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.