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Finding the Fourth Proportional to 796,327, 1,098,931.32 and 438,631

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Solution

The fourth proportional to 796,327, 1,098,931.32 and 438,631 is: 605,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,327 : 1,098,931.32 = 438,631 : x
  2. Step 2: Convert to fraction form
    796,327/1,098,931.32 = 438,631/x
  3. Step 3: Cross multiply
    796,327x = 1,098,931.32 × 438,631
  4. Step 4: Simplify right side
    796,327x = 482,025,343,822.92
  5. Step 5: Solve for x
    x = 482,025,343,822.92/796,327
  6. Step 6: Final answer
    x = 605,310.81

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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.