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Finding the Fourth Proportional to 289,790.34, 399,867.33 and 165,601.95

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Solution

The fourth proportional to 289,790.34, 399,867.33 and 165,601.95 is: 228,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,790.34 : 399,867.33 = 165,601.95 : x
  2. Step 2: Convert to fraction form
    289,790.34/399,867.33 = 165,601.95/x
  3. Step 3: Cross multiply
    289,790.34x = 399,867.33 × 165,601.95
  4. Step 4: Simplify right side
    289,790.34x = 66,218,809,589.29
  5. Step 5: Solve for x
    x = 66,218,809,589.29/289,790.34
  6. Step 6: Final answer
    x = 228,505.92

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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.