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Finding the Fourth Proportional to 298,241.89, 411,561.47 and 162,276.37

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Solution

The fourth proportional to 298,241.89, 411,561.47 and 162,276.37 is: 223,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,241.89 : 411,561.47 = 162,276.37 : x
  2. Step 2: Convert to fraction form
    298,241.89/411,561.47 = 162,276.37/x
  3. Step 3: Cross multiply
    298,241.89x = 411,561.47 × 162,276.37
  4. Step 4: Simplify right side
    298,241.89x = 66,786,700,760.25
  5. Step 5: Solve for x
    x = 66,786,700,760.25/298,241.89
  6. Step 6: Final answer
    x = 223,934.68

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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.