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Finding the Fourth Proportional to 419,735.98, 579,239.74 and 228,753.46

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Solution

The fourth proportional to 419,735.98, 579,239.74 and 228,753.46 is: 315,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,735.98 : 579,239.74 = 228,753.46 : x
  2. Step 2: Convert to fraction form
    419,735.98/579,239.74 = 228,753.46/x
  3. Step 3: Cross multiply
    419,735.98x = 579,239.74 × 228,753.46
  4. Step 4: Simplify right side
    419,735.98x = 132,503,094,694.50
  5. Step 5: Solve for x
    x = 132,503,094,694.50/419,735.98
  6. Step 6: Final answer
    x = 315,682.00

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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.