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Finding the Fourth Proportional to 370,676, 511,540.74 and 209,521.44

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Solution

The fourth proportional to 370,676, 511,540.74 and 209,521.44 is: 289,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,676 : 511,540.74 = 209,521.44 : x
  2. Step 2: Convert to fraction form
    370,676/511,540.74 = 209,521.44/x
  3. Step 3: Cross multiply
    370,676x = 511,540.74 × 209,521.44
  4. Step 4: Simplify right side
    370,676x = 107,178,752,463.47
  5. Step 5: Solve for x
    x = 107,178,752,463.47/370,676
  6. Step 6: Final answer
    x = 289,144.03

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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.