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Finding the Fourth Proportional to 613,829.68, 847,107.96 and 338,198.86

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Solution

The fourth proportional to 613,829.68, 847,107.96 and 338,198.86 is: 466,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,829.68 : 847,107.96 = 338,198.86 : x
  2. Step 2: Convert to fraction form
    613,829.68/847,107.96 = 338,198.86/x
  3. Step 3: Cross multiply
    613,829.68x = 847,107.96 × 338,198.86
  4. Step 4: Simplify right side
    613,829.68x = 286,490,946,368.93
  5. Step 5: Solve for x
    x = 286,490,946,368.93/613,829.68
  6. Step 6: Final answer
    x = 466,727.10

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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.