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Finding the Fourth Proportional to 289,051.80, 433,383.30 and 154,138.20

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Solution

The fourth proportional to 289,051.80, 433,383.30 and 154,138.20 is: 231,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,051.80 : 433,383.30 = 154,138.20 : x
  2. Step 2: Convert to fraction form
    289,051.80/433,383.30 = 154,138.20/x
  3. Step 3: Cross multiply
    289,051.80x = 433,383.30 × 154,138.20
  4. Step 4: Simplify right side
    289,051.80x = 66,800,921,772.06
  5. Step 5: Solve for x
    x = 66,800,921,772.06/289,051.80
  6. Step 6: Final answer
    x = 231,103.64

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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.