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Finding the Fourth Proportional to 419,422.89, 578,810.31 and 228,436.28

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Solution

The fourth proportional to 419,422.89, 578,810.31 and 228,436.28 is: 315,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,422.89 : 578,810.31 = 228,436.28 : x
  2. Step 2: Convert to fraction form
    419,422.89/578,810.31 = 228,436.28/x
  3. Step 3: Cross multiply
    419,422.89x = 578,810.31 × 228,436.28
  4. Step 4: Simplify right side
    419,422.89x = 132,221,274,042.05
  5. Step 5: Solve for x
    x = 132,221,274,042.05/419,422.89
  6. Step 6: Final answer
    x = 315,245.73

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1.5x scale

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.