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Finding the Fourth Proportional to 288,808.20, 432,916.92 and 111,245.58

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Solution

The fourth proportional to 288,808.20, 432,916.92 and 111,245.58 is: 166,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,808.20 : 432,916.92 = 111,245.58 : x
  2. Step 2: Convert to fraction form
    288,808.20/432,916.92 = 111,245.58/x
  3. Step 3: Cross multiply
    288,808.20x = 432,916.92 × 111,245.58
  4. Step 4: Simplify right side
    288,808.20x = 48,160,093,857.21
  5. Step 5: Solve for x
    x = 48,160,093,857.21/288,808.20
  6. Step 6: Final answer
    x = 166,754.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.