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Finding the Fourth Proportional to 613,859.09, 847,082.00 and 338,204.90

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Solution

The fourth proportional to 613,859.09, 847,082.00 and 338,204.90 is: 466,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,859.09 : 847,082.00 = 338,204.90 : x
  2. Step 2: Convert to fraction form
    613,859.09/847,082.00 = 338,204.90/x
  3. Step 3: Cross multiply
    613,859.09x = 847,082.00 × 338,204.90
  4. Step 4: Simplify right side
    613,859.09x = 286,487,286,065.02
  5. Step 5: Solve for x
    x = 286,487,286,065.02/613,859.09
  6. Step 6: Final answer
    x = 466,698.78

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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.