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Finding the Fourth Proportional to 280,628.92, 421,109.44 and 103,260.48

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Solution

The fourth proportional to 280,628.92, 421,109.44 and 103,260.48 is: 154,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,628.92 : 421,109.44 = 103,260.48 : x
  2. Step 2: Convert to fraction form
    280,628.92/421,109.44 = 103,260.48/x
  3. Step 3: Cross multiply
    280,628.92x = 421,109.44 × 103,260.48
  4. Step 4: Simplify right side
    280,628.92x = 43,483,962,906.93
  5. Step 5: Solve for x
    x = 43,483,962,906.93/280,628.92
  6. Step 6: Final answer
    x = 154,951.82

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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.