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Finding the Fourth Proportional to 381,863, 526,970.98 and 212,112.92

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Solution

The fourth proportional to 381,863, 526,970.98 and 212,112.92 is: 292,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,863 : 526,970.98 = 212,112.92 : x
  2. Step 2: Convert to fraction form
    381,863/526,970.98 = 212,112.92/x
  3. Step 3: Cross multiply
    381,863x = 526,970.98 × 212,112.92
  4. Step 4: Simplify right side
    381,863x = 111,777,353,323.06
  5. Step 5: Solve for x
    x = 111,777,353,323.06/381,863
  6. Step 6: Final answer
    x = 292,715.85

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1.5x scale

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.