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Finding the Fourth Proportional to 289,169.26, 399,203.37 and 180,305.87

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Solution

The fourth proportional to 289,169.26, 399,203.37 and 180,305.87 is: 248,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,169.26 : 399,203.37 = 180,305.87 : x
  2. Step 2: Convert to fraction form
    289,169.26/399,203.37 = 180,305.87/x
  3. Step 3: Cross multiply
    289,169.26x = 399,203.37 × 180,305.87
  4. Step 4: Simplify right side
    289,169.26x = 71,978,708,938.77
  5. Step 5: Solve for x
    x = 71,978,708,938.77/289,169.26
  6. Step 6: Final answer
    x = 248,915.50

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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.