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Finding the Fourth Proportional to 370,540.80, 511,291.08 and 209,394.54

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Solution

The fourth proportional to 370,540.80, 511,291.08 and 209,394.54 is: 288,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,540.80 : 511,291.08 = 209,394.54 : x
  2. Step 2: Convert to fraction form
    370,540.80/511,291.08 = 209,394.54/x
  3. Step 3: Cross multiply
    370,540.80x = 511,291.08 × 209,394.54
  4. Step 4: Simplify right side
    370,540.80x = 107,061,560,502.70
  5. Step 5: Solve for x
    x = 107,061,560,502.70/370,540.80
  6. Step 6: Final answer
    x = 288,933.26

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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.