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Finding the Fourth Proportional to 356,513.46, 491,941.80 and 213,221.22

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Solution

The fourth proportional to 356,513.46, 491,941.80 and 213,221.22 is: 294,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,513.46 : 491,941.80 = 213,221.22 : x
  2. Step 2: Convert to fraction form
    356,513.46/491,941.80 = 213,221.22/x
  3. Step 3: Cross multiply
    356,513.46x = 491,941.80 × 213,221.22
  4. Step 4: Simplify right side
    356,513.46x = 104,892,430,765.00
  5. Step 5: Solve for x
    x = 104,892,430,765.00/356,513.46
  6. Step 6: Final answer
    x = 294,217.31

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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.