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Finding the Fourth Proportional to 381,513, 526,487.94 and 211,748.34

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Solution

The fourth proportional to 381,513, 526,487.94 and 211,748.34 is: 292,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,513 : 526,487.94 = 211,748.34 : x
  2. Step 2: Convert to fraction form
    381,513/526,487.94 = 211,748.34/x
  3. Step 3: Cross multiply
    381,513x = 526,487.94 × 211,748.34
  4. Step 4: Simplify right side
    381,513x = 111,482,947,325.02
  5. Step 5: Solve for x
    x = 111,482,947,325.02/381,513
  6. Step 6: Final answer
    x = 292,212.71

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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.