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Finding the Fourth Proportional to 613,829.68, 847,107.96 and 338,198.88

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Solution

The fourth proportional to 613,829.68, 847,107.96 and 338,198.88 is: 466,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,829.68 : 847,107.96 = 338,198.88 : x
  2. Step 2: Convert to fraction form
    613,829.68/847,107.96 = 338,198.88/x
  3. Step 3: Cross multiply
    613,829.68x = 847,107.96 × 338,198.88
  4. Step 4: Simplify right side
    613,829.68x = 286,490,963,311.09
  5. Step 5: Solve for x
    x = 286,490,963,311.09/613,829.68
  6. Step 6: Final answer
    x = 466,727.13

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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.