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Finding the Fourth Proportional to 796,356, 1,098,971.34 and 438,660

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Solution

The fourth proportional to 796,356, 1,098,971.34 and 438,660 is: 605,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,356 : 1,098,971.34 = 438,660 : x
  2. Step 2: Convert to fraction form
    796,356/1,098,971.34 = 438,660/x
  3. Step 3: Cross multiply
    796,356x = 1,098,971.34 × 438,660
  4. Step 4: Simplify right side
    796,356x = 482,074,768,004.40
  5. Step 5: Solve for x
    x = 482,074,768,004.40/796,356
  6. Step 6: Final answer
    x = 605,350.83

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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.