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Finding the Fourth Proportional to 289,302.78, 399,151.49 and 187,166.46

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Solution

The fourth proportional to 289,302.78, 399,151.49 and 187,166.46 is: 258,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,302.78 : 399,151.49 = 187,166.46 : x
  2. Step 2: Convert to fraction form
    289,302.78/399,151.49 = 187,166.46/x
  3. Step 3: Cross multiply
    289,302.78x = 399,151.49 × 187,166.46
  4. Step 4: Simplify right side
    289,302.78x = 74,707,770,451.19
  5. Step 5: Solve for x
    x = 74,707,770,451.19/289,302.78
  6. Step 6: Final answer
    x = 258,233.85

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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.