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Finding the Fourth Proportional to 370,709.82, 511,565.82 and 200,940.30

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Solution

The fourth proportional to 370,709.82, 511,565.82 and 200,940.30 is: 277,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,709.82 : 511,565.82 = 200,940.30 : x
  2. Step 2: Convert to fraction form
    370,709.82/511,565.82 = 200,940.30/x
  3. Step 3: Cross multiply
    370,709.82x = 511,565.82 × 200,940.30
  4. Step 4: Simplify right side
    370,709.82x = 102,794,189,340.55
  5. Step 5: Solve for x
    x = 102,794,189,340.55/370,709.82
  6. Step 6: Final answer
    x = 277,290.17

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1.5x scale

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.