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Finding the Fourth Proportional to 280,608.44, 421,078.59 and 103,239.90

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Solution

The fourth proportional to 280,608.44, 421,078.59 and 103,239.90 is: 154,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,608.44 : 421,078.59 = 103,239.90 : x
  2. Step 2: Convert to fraction form
    280,608.44/421,078.59 = 103,239.90/x
  3. Step 3: Cross multiply
    280,608.44x = 421,078.59 × 103,239.90
  4. Step 4: Simplify right side
    280,608.44x = 43,472,111,523.74
  5. Step 5: Solve for x
    x = 43,472,111,523.74/280,608.44
  6. Step 6: Final answer
    x = 154,920.90

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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.