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Finding the Fourth Proportional to 419,615.40, 579,072.06 and 228,628.20

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Solution

The fourth proportional to 419,615.40, 579,072.06 and 228,628.20 is: 315,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,615.40 : 579,072.06 = 228,628.20 : x
  2. Step 2: Convert to fraction form
    419,615.40/579,072.06 = 228,628.20/x
  3. Step 3: Cross multiply
    419,615.40x = 579,072.06 × 228,628.20
  4. Step 4: Simplify right side
    419,615.40x = 132,392,202,748.09
  5. Step 5: Solve for x
    x = 132,392,202,748.09/419,615.40
  6. Step 6: Final answer
    x = 315,508.45

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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.