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Finding the Fourth Proportional to 419,690.84, 579,172.48 and 228,703.77

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Solution

The fourth proportional to 419,690.84, 579,172.48 and 228,703.77 is: 315,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,690.84 : 579,172.48 = 228,703.77 : x
  2. Step 2: Convert to fraction form
    419,690.84/579,172.48 = 228,703.77/x
  3. Step 3: Cross multiply
    419,690.84x = 579,172.48 × 228,703.77
  4. Step 4: Simplify right side
    419,690.84x = 132,458,929,084.49
  5. Step 5: Solve for x
    x = 132,458,929,084.49/419,690.84
  6. Step 6: Final answer
    x = 315,610.73

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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.