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Finding the Fourth Proportional to 796,256, 1,098,833.28 and 438,560

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Solution

The fourth proportional to 796,256, 1,098,833.28 and 438,560 is: 605,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,256 : 1,098,833.28 = 438,560 : x
  2. Step 2: Convert to fraction form
    796,256/1,098,833.28 = 438,560/x
  3. Step 3: Cross multiply
    796,256x = 1,098,833.28 × 438,560
  4. Step 4: Simplify right side
    796,256x = 481,904,323,276.80
  5. Step 5: Solve for x
    x = 481,904,323,276.80/796,256
  6. Step 6: Final answer
    x = 605,212.80

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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.