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Finding the Fourth Proportional to 381,196.88, 526,114.68 and 211,485.68

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Solution

The fourth proportional to 381,196.88, 526,114.68 and 211,485.68 is: 291,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196.88 : 526,114.68 = 211,485.68 : x
  2. Step 2: Convert to fraction form
    381,196.88/526,114.68 = 211,485.68/x
  3. Step 3: Cross multiply
    381,196.88x = 526,114.68 × 211,485.68
  4. Step 4: Simplify right side
    381,196.88x = 111,265,720,857.78
  5. Step 5: Solve for x
    x = 111,265,720,857.78/381,196.88
  6. Step 6: Final answer
    x = 291,885.18

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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.