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Finding the Fourth Proportional to 280,964.54, 420,936.39 and 162,385.38

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Solution

The fourth proportional to 280,964.54, 420,936.39 and 162,385.38 is: 243,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,964.54 : 420,936.39 = 162,385.38 : x
  2. Step 2: Convert to fraction form
    280,964.54/420,936.39 = 162,385.38/x
  3. Step 3: Cross multiply
    280,964.54x = 420,936.39 × 162,385.38
  4. Step 4: Simplify right side
    280,964.54x = 68,353,915,645.98
  5. Step 5: Solve for x
    x = 68,353,915,645.98/280,964.54
  6. Step 6: Final answer
    x = 243,283.07

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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.