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Finding the Fourth Proportional to 356,419.12, 491,921.76 and 213,194.92

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Solution

The fourth proportional to 356,419.12, 491,921.76 and 213,194.92 is: 294,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,419.12 : 491,921.76 = 213,194.92 : x
  2. Step 2: Convert to fraction form
    356,419.12/491,921.76 = 213,194.92/x
  3. Step 3: Cross multiply
    356,419.12x = 491,921.76 × 213,194.92
  4. Step 4: Simplify right side
    356,419.12x = 104,875,220,269.46
  5. Step 5: Solve for x
    x = 104,875,220,269.46/356,419.12
  6. Step 6: Final answer
    x = 294,246.90

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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.