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Finding the Fourth Proportional to 280,665.54, 421,164.36 and 103,297.14

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Solution

The fourth proportional to 280,665.54, 421,164.36 and 103,297.14 is: 155,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,665.54 : 421,164.36 = 103,297.14 : x
  2. Step 2: Convert to fraction form
    280,665.54/421,164.36 = 103,297.14/x
  3. Step 3: Cross multiply
    280,665.54x = 421,164.36 × 103,297.14
  4. Step 4: Simplify right side
    280,665.54x = 43,505,073,857.93
  5. Step 5: Solve for x
    x = 43,505,073,857.93/280,665.54
  6. Step 6: Final answer
    x = 155,006.82

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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.