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Finding the Fourth Proportional to 280,708.72, 421,229.84 and 103,340.28

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Solution

The fourth proportional to 280,708.72, 421,229.84 and 103,340.28 is: 155,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,708.72 : 421,229.84 = 103,340.28 : x
  2. Step 2: Convert to fraction form
    280,708.72/421,229.84 = 103,340.28/x
  3. Step 3: Cross multiply
    280,708.72x = 421,229.84 × 103,340.28
  4. Step 4: Simplify right side
    280,708.72x = 43,530,010,672.87
  5. Step 5: Solve for x
    x = 43,530,010,672.87/280,708.72
  6. Step 6: Final answer
    x = 155,071.82

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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.