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Finding the Fourth Proportional to 419,687.68, 579,169.02 and 228,701.02

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Solution

The fourth proportional to 419,687.68, 579,169.02 and 228,701.02 is: 315,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,687.68 : 579,169.02 = 228,701.02 : x
  2. Step 2: Convert to fraction form
    419,687.68/579,169.02 = 228,701.02/x
  3. Step 3: Cross multiply
    419,687.68x = 579,169.02 × 228,701.02
  4. Step 4: Simplify right side
    419,687.68x = 132,456,545,626.40
  5. Step 5: Solve for x
    x = 132,456,545,626.40/419,687.68
  6. Step 6: Final answer
    x = 315,607.42

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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.