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Finding the Fourth Proportional to 219,221.82, 302,730.55 and 161,353.80

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Solution

The fourth proportional to 219,221.82, 302,730.55 and 161,353.80 is: 222,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,221.82 : 302,730.55 = 161,353.80 : x
  2. Step 2: Convert to fraction form
    219,221.82/302,730.55 = 161,353.80/x
  3. Step 3: Cross multiply
    219,221.82x = 302,730.55 × 161,353.80
  4. Step 4: Simplify right side
    219,221.82x = 48,846,724,215.21
  5. Step 5: Solve for x
    x = 48,846,724,215.21/219,221.82
  6. Step 6: Final answer
    x = 222,818.71

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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.