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Finding the Fourth Proportional to 213,475.44, 320,212.76 and 200,484.66

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Solution

The fourth proportional to 213,475.44, 320,212.76 and 200,484.66 is: 300,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,475.44 : 320,212.76 = 200,484.66 : x
  2. Step 2: Convert to fraction form
    213,475.44/320,212.76 = 200,484.66/x
  3. Step 3: Cross multiply
    213,475.44x = 320,212.76 × 200,484.66
  4. Step 4: Simplify right side
    213,475.44x = 64,197,745,313.84
  5. Step 5: Solve for x
    x = 64,197,745,313.84/213,475.44
  6. Step 6: Final answer
    x = 300,726.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.