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Finding the Fourth Proportional to 419,635.17, 579,096.60 and 228,648.58

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Solution

The fourth proportional to 419,635.17, 579,096.60 and 228,648.58 is: 315,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,635.17 : 579,096.60 = 228,648.58 : x
  2. Step 2: Convert to fraction form
    419,635.17/579,096.60 = 228,648.58/x
  3. Step 3: Cross multiply
    419,635.17x = 579,096.60 × 228,648.58
  4. Step 4: Simplify right side
    419,635.17x = 132,409,615,272.83
  5. Step 5: Solve for x
    x = 132,409,615,272.83/419,635.17
  6. Step 6: Final answer
    x = 315,535.08

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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.