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Finding the Fourth Proportional to 280,428.01, 420,697.49 and 102,936.56

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Solution

The fourth proportional to 280,428.01, 420,697.49 and 102,936.56 is: 154,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,428.01 : 420,697.49 = 102,936.56 : x
  2. Step 2: Convert to fraction form
    280,428.01/420,697.49 = 102,936.56/x
  3. Step 3: Cross multiply
    280,428.01x = 420,697.49 × 102,936.56
  4. Step 4: Simplify right side
    280,428.01x = 43,305,149,803.06
  5. Step 5: Solve for x
    x = 43,305,149,803.06/280,428.01
  6. Step 6: Final answer
    x = 154,425.20

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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.