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Finding the Fourth Proportional to 280,708.58, 421,229.62 and 103,340.14

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Solution

The fourth proportional to 280,708.58, 421,229.62 and 103,340.14 is: 155,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,708.58 : 421,229.62 = 103,340.14 : x
  2. Step 2: Convert to fraction form
    280,708.58/421,229.62 = 103,340.14/x
  3. Step 3: Cross multiply
    280,708.58x = 421,229.62 × 103,340.14
  4. Step 4: Simplify right side
    280,708.58x = 43,529,929,639.11
  5. Step 5: Solve for x
    x = 43,529,929,639.11/280,708.58
  6. Step 6: Final answer
    x = 155,071.61

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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.