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Finding the Fourth Proportional to 419,752.60, 579,241.70 and 228,761.88

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Solution

The fourth proportional to 419,752.60, 579,241.70 and 228,761.88 is: 315,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,752.60 : 579,241.70 = 228,761.88 : x
  2. Step 2: Convert to fraction form
    419,752.60/579,241.70 = 228,761.88/x
  3. Step 3: Cross multiply
    419,752.60x = 579,241.70 × 228,761.88
  4. Step 4: Simplify right side
    419,752.60x = 132,508,420,266.40
  5. Step 5: Solve for x
    x = 132,508,420,266.40/419,752.60
  6. Step 6: Final answer
    x = 315,682.19

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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.