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Finding the Fourth Proportional to 419,686.16, 579,173.52 and 228,699.44

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Solution

The fourth proportional to 419,686.16, 579,173.52 and 228,699.44 is: 315,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,686.16 : 579,173.52 = 228,699.44 : x
  2. Step 2: Convert to fraction form
    419,686.16/579,173.52 = 228,699.44/x
  3. Step 3: Cross multiply
    419,686.16x = 579,173.52 × 228,699.44
  4. Step 4: Simplify right side
    419,686.16x = 132,456,659,686.83
  5. Step 5: Solve for x
    x = 132,456,659,686.83/419,686.16
  6. Step 6: Final answer
    x = 315,608.83

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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.