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Finding the Fourth Proportional to 419,627.76, 579,090.56 and 228,644.32

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Solution

The fourth proportional to 419,627.76, 579,090.56 and 228,644.32 is: 315,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,627.76 : 579,090.56 = 228,644.32 : x
  2. Step 2: Convert to fraction form
    419,627.76/579,090.56 = 228,644.32/x
  3. Step 3: Cross multiply
    419,627.76x = 579,090.56 × 228,644.32
  4. Step 4: Simplify right side
    419,627.76x = 132,405,767,309.62
  5. Step 5: Solve for x
    x = 132,405,767,309.62/419,627.76
  6. Step 6: Final answer
    x = 315,531.48

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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.