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Finding the Fourth Proportional to 289,641.71, 399,718.19 and 160,571.97

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Solution

The fourth proportional to 289,641.71, 399,718.19 and 160,571.97 is: 221,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,641.71 : 399,718.19 = 160,571.97 : x
  2. Step 2: Convert to fraction form
    289,641.71/399,718.19 = 160,571.97/x
  3. Step 3: Cross multiply
    289,641.71x = 399,718.19 × 160,571.97
  4. Step 4: Simplify right side
    289,641.71x = 64,183,537,614.56
  5. Step 5: Solve for x
    x = 64,183,537,614.56/289,641.71
  6. Step 6: Final answer
    x = 221,596.33

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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.