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Finding the Fourth Proportional to 415,309.28, 622,434.18 and 202,127.81

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Solution

The fourth proportional to 415,309.28, 622,434.18 and 202,127.81 is: 302,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,309.28 : 622,434.18 = 202,127.81 : x
  2. Step 2: Convert to fraction form
    415,309.28/622,434.18 = 202,127.81/x
  3. Step 3: Cross multiply
    415,309.28x = 622,434.18 × 202,127.81
  4. Step 4: Simplify right side
    415,309.28x = 125,811,257,672.55
  5. Step 5: Solve for x
    x = 125,811,257,672.55/415,309.28
  6. Step 6: Final answer
    x = 302,933.89

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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.