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Finding the Fourth Proportional to 289,848.92, 399,915.77 and 167,311.31

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Solution

The fourth proportional to 289,848.92, 399,915.77 and 167,311.31 is: 230,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,848.92 : 399,915.77 = 167,311.31 : x
  2. Step 2: Convert to fraction form
    289,848.92/399,915.77 = 167,311.31/x
  3. Step 3: Cross multiply
    289,848.92x = 399,915.77 × 167,311.31
  4. Step 4: Simplify right side
    289,848.92x = 66,910,428,532.22
  5. Step 5: Solve for x
    x = 66,910,428,532.22/289,848.92
  6. Step 6: Final answer
    x = 230,845.88

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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.