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Finding the Fourth Proportional to 356,520.52, 491,984.22 and 213,195.16

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Solution

The fourth proportional to 356,520.52, 491,984.22 and 213,195.16 is: 294,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,520.52 : 491,984.22 = 213,195.16 : x
  2. Step 2: Convert to fraction form
    356,520.52/491,984.22 = 213,195.16/x
  3. Step 3: Cross multiply
    356,520.52x = 491,984.22 × 213,195.16
  4. Step 4: Simplify right side
    356,520.52x = 104,888,654,500.38
  5. Step 5: Solve for x
    x = 104,888,654,500.38/356,520.52
  6. Step 6: Final answer
    x = 294,200.89

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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.