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Finding the Fourth Proportional to 289,168.29, 399,053.61 and 161,868.49

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Solution

The fourth proportional to 289,168.29, 399,053.61 and 161,868.49 is: 223,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,168.29 : 399,053.61 = 161,868.49 : x
  2. Step 2: Convert to fraction form
    289,168.29/399,053.61 = 161,868.49/x
  3. Step 3: Cross multiply
    289,168.29x = 399,053.61 × 161,868.49
  4. Step 4: Simplify right side
    289,168.29x = 64,594,205,279.75
  5. Step 5: Solve for x
    x = 64,594,205,279.75/289,168.29
  6. Step 6: Final answer
    x = 223,379.28

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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.