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Finding the Fourth Proportional to 419,964.39, 579,560.01 and 228,978.54

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Solution

The fourth proportional to 419,964.39, 579,560.01 and 228,978.54 is: 315,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,964.39 : 579,560.01 = 228,978.54 : x
  2. Step 2: Convert to fraction form
    419,964.39/579,560.01 = 228,978.54/x
  3. Step 3: Cross multiply
    419,964.39x = 579,560.01 × 228,978.54
  4. Step 4: Simplify right side
    419,964.39x = 132,706,804,932.19
  5. Step 5: Solve for x
    x = 132,706,804,932.19/419,964.39
  6. Step 6: Final answer
    x = 315,995.38

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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.