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Finding the Fourth Proportional to 298,476.42, 411,926.52 and 222,893.70

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Solution

The fourth proportional to 298,476.42, 411,926.52 and 222,893.70 is: 307,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,476.42 : 411,926.52 = 222,893.70 : x
  2. Step 2: Convert to fraction form
    298,476.42/411,926.52 = 222,893.70/x
  3. Step 3: Cross multiply
    298,476.42x = 411,926.52 × 222,893.70
  4. Step 4: Simplify right side
    298,476.42x = 91,815,826,170.92
  5. Step 5: Solve for x
    x = 91,815,826,170.92/298,476.42
  6. Step 6: Final answer
    x = 307,615.01

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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.