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Finding the Fourth Proportional to 370,291.56, 511,007.34 and 206,940.90

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Solution

The fourth proportional to 370,291.56, 511,007.34 and 206,940.90 is: 285,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,291.56 : 511,007.34 = 206,940.90 : x
  2. Step 2: Convert to fraction form
    370,291.56/511,007.34 = 206,940.90/x
  3. Step 3: Cross multiply
    370,291.56x = 511,007.34 × 206,940.90
  4. Step 4: Simplify right side
    370,291.56x = 105,748,318,846.21
  5. Step 5: Solve for x
    x = 105,748,318,846.21/370,291.56
  6. Step 6: Final answer
    x = 285,581.23

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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.