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Finding the Fourth Proportional to 613,540, 846,685.20 and 345,273.76

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Solution

The fourth proportional to 613,540, 846,685.20 and 345,273.76 is: 476,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,540 : 846,685.20 = 345,273.76 : x
  2. Step 2: Convert to fraction form
    613,540/846,685.20 = 345,273.76/x
  3. Step 3: Cross multiply
    613,540x = 846,685.20 × 345,273.76
  4. Step 4: Simplify right side
    613,540x = 292,338,182,540.35
  5. Step 5: Solve for x
    x = 292,338,182,540.35/613,540
  6. Step 6: Final answer
    x = 476,477.79

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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.