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Finding the Fourth Proportional to 324,347.64, 447,309.37 and 203,502.12

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Solution

The fourth proportional to 324,347.64, 447,309.37 and 203,502.12 is: 280,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,347.64 : 447,309.37 = 203,502.12 : x
  2. Step 2: Convert to fraction form
    324,347.64/447,309.37 = 203,502.12/x
  3. Step 3: Cross multiply
    324,347.64x = 447,309.37 × 203,502.12
  4. Step 4: Simplify right side
    324,347.64x = 91,028,405,090.86
  5. Step 5: Solve for x
    x = 91,028,405,090.86/324,347.64
  6. Step 6: Final answer
    x = 280,650.74

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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.