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Finding the Fourth Proportional to 289,781.50, 399,899.92 and 169,006.54

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Solution

The fourth proportional to 289,781.50, 399,899.92 and 169,006.54 is: 233,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.50 : 399,899.92 = 169,006.54 : x
  2. Step 2: Convert to fraction form
    289,781.50/399,899.92 = 169,006.54/x
  3. Step 3: Cross multiply
    289,781.50x = 399,899.92 × 169,006.54
  4. Step 4: Simplify right side
    289,781.50x = 67,585,701,825.48
  5. Step 5: Solve for x
    x = 67,585,701,825.48/289,781.50
  6. Step 6: Final answer
    x = 233,229.87

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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.