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Finding the Fourth Proportional to 796,325, 1,098,928.50 and 438,629

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Solution

The fourth proportional to 796,325, 1,098,928.50 and 438,629 is: 605,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,325 : 1,098,928.50 = 438,629 : x
  2. Step 2: Convert to fraction form
    796,325/1,098,928.50 = 438,629/x
  3. Step 3: Cross multiply
    796,325x = 1,098,928.50 × 438,629
  4. Step 4: Simplify right side
    796,325x = 482,021,909,026.50
  5. Step 5: Solve for x
    x = 482,021,909,026.50/796,325
  6. Step 6: Final answer
    x = 605,308.02

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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.