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Finding the Fourth Proportional to 356,296.50, 491,674.77 and 213,135.66

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Solution

The fourth proportional to 356,296.50, 491,674.77 and 213,135.66 is: 294,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,296.50 : 491,674.77 = 213,135.66 : x
  2. Step 2: Convert to fraction form
    356,296.50/491,674.77 = 213,135.66/x
  3. Step 3: Cross multiply
    356,296.50x = 491,674.77 × 213,135.66
  4. Step 4: Simplify right side
    356,296.50x = 104,793,426,609.30
  5. Step 5: Solve for x
    x = 104,793,426,609.30/356,296.50
  6. Step 6: Final answer
    x = 294,118.60

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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.