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Finding the Fourth Proportional to 412,082.76, 620,932.14 and 338,843.64

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Solution

The fourth proportional to 412,082.76, 620,932.14 and 338,843.64 is: 510,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,082.76 : 620,932.14 = 338,843.64 : x
  2. Step 2: Convert to fraction form
    412,082.76/620,932.14 = 338,843.64/x
  3. Step 3: Cross multiply
    412,082.76x = 620,932.14 × 338,843.64
  4. Step 4: Simplify right side
    412,082.76x = 210,398,906,510.59
  5. Step 5: Solve for x
    x = 210,398,906,510.59/412,082.76
  6. Step 6: Final answer
    x = 510,574.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.