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Finding the Fourth Proportional to 796,324, 1,098,927.12 and 438,628

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Solution

The fourth proportional to 796,324, 1,098,927.12 and 438,628 is: 605,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,324 : 1,098,927.12 = 438,628 : x
  2. Step 2: Convert to fraction form
    796,324/1,098,927.12 = 438,628/x
  3. Step 3: Cross multiply
    796,324x = 1,098,927.12 × 438,628
  4. Step 4: Simplify right side
    796,324x = 482,020,204,791.36
  5. Step 5: Solve for x
    x = 482,020,204,791.36/796,324
  6. Step 6: Final answer
    x = 605,306.64

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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.