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Finding the Fourth Proportional to 381,819.45, 526,893.21 and 212,064.51

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Solution

The fourth proportional to 381,819.45, 526,893.21 and 212,064.51 is: 292,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,819.45 : 526,893.21 = 212,064.51 : x
  2. Step 2: Convert to fraction form
    381,819.45/526,893.21 = 212,064.51/x
  3. Step 3: Cross multiply
    381,819.45x = 526,893.21 × 212,064.51
  4. Step 4: Simplify right side
    381,819.45x = 111,735,350,400.98
  5. Step 5: Solve for x
    x = 111,735,350,400.98/381,819.45
  6. Step 6: Final answer
    x = 292,639.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.