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Finding the Fourth Proportional to 360,872.44, 498,135.20 and 209,969.44

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Solution

The fourth proportional to 360,872.44, 498,135.20 and 209,969.44 is: 289,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,872.44 : 498,135.20 = 209,969.44 : x
  2. Step 2: Convert to fraction form
    360,872.44/498,135.20 = 209,969.44/x
  3. Step 3: Cross multiply
    360,872.44x = 498,135.20 × 209,969.44
  4. Step 4: Simplify right side
    360,872.44x = 104,593,166,693.10
  5. Step 5: Solve for x
    x = 104,593,166,693.10/360,872.44
  6. Step 6: Final answer
    x = 289,834.18

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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.