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Finding the Fourth Proportional to 289,640.95, 399,717.16 and 160,571.22

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Solution

The fourth proportional to 289,640.95, 399,717.16 and 160,571.22 is: 221,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640.95 : 399,717.16 = 160,571.22 : x
  2. Step 2: Convert to fraction form
    289,640.95/399,717.16 = 160,571.22/x
  3. Step 3: Cross multiply
    289,640.95x = 399,717.16 × 160,571.22
  4. Step 4: Simplify right side
    289,640.95x = 64,183,070,135.77
  5. Step 5: Solve for x
    x = 64,183,070,135.77/289,640.95
  6. Step 6: Final answer
    x = 221,595.29

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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.