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Finding the Fourth Proportional to 289,414.11, 399,394.50 and 160,356.54

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Solution

The fourth proportional to 289,414.11, 399,394.50 and 160,356.54 is: 221,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,414.11 : 399,394.50 = 160,356.54 : x
  2. Step 2: Convert to fraction form
    289,414.11/399,394.50 = 160,356.54/x
  3. Step 3: Cross multiply
    289,414.11x = 399,394.50 × 160,356.54
  4. Step 4: Simplify right side
    289,414.11x = 64,045,520,115.03
  5. Step 5: Solve for x
    x = 64,045,520,115.03/289,414.11
  6. Step 6: Final answer
    x = 221,293.70

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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.