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Finding the Fourth Proportional to 370,709.80, 511,565.80 and 200,940.28

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Solution

The fourth proportional to 370,709.80, 511,565.80 and 200,940.28 is: 277,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,709.80 : 511,565.80 = 200,940.28 : x
  2. Step 2: Convert to fraction form
    370,709.80/511,565.80 = 200,940.28/x
  3. Step 3: Cross multiply
    370,709.80x = 511,565.80 × 200,940.28
  4. Step 4: Simplify right side
    370,709.80x = 102,794,175,090.42
  5. Step 5: Solve for x
    x = 102,794,175,090.42/370,709.80
  6. Step 6: Final answer
    x = 277,290.15

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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.