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Finding the Fourth Proportional to 370,969.82, 511,949.94 and 209,821.72

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Solution

The fourth proportional to 370,969.82, 511,949.94 and 209,821.72 is: 289,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,969.82 : 511,949.94 = 209,821.72 : x
  2. Step 2: Convert to fraction form
    370,969.82/511,949.94 = 209,821.72/x
  3. Step 3: Cross multiply
    370,969.82x = 511,949.94 × 209,821.72
  4. Step 4: Simplify right side
    370,969.82x = 107,418,216,964.70
  5. Step 5: Solve for x
    x = 107,418,216,964.70/370,969.82
  6. Step 6: Final answer
    x = 289,560.53

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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.