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Finding the Fourth Proportional to 419,972.88, 579,549.96 and 228,990

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Solution

The fourth proportional to 419,972.88, 579,549.96 and 228,990 is: 315,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,972.88 : 579,549.96 = 228,990 : x
  2. Step 2: Convert to fraction form
    419,972.88/579,549.96 = 228,990/x
  3. Step 3: Cross multiply
    419,972.88x = 579,549.96 × 228,990
  4. Step 4: Simplify right side
    419,972.88x = 132,711,145,340.40
  5. Step 5: Solve for x
    x = 132,711,145,340.40/419,972.88
  6. Step 6: Final answer
    x = 315,999.32

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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.