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Finding the Fourth Proportional to 298,709.34, 411,941.97 and 218,009.04

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Solution

The fourth proportional to 298,709.34, 411,941.97 and 218,009.04 is: 300,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,709.34 : 411,941.97 = 218,009.04 : x
  2. Step 2: Convert to fraction form
    298,709.34/411,941.97 = 218,009.04/x
  3. Step 3: Cross multiply
    298,709.34x = 411,941.97 × 218,009.04
  4. Step 4: Simplify right side
    298,709.34x = 89,807,073,415.41
  5. Step 5: Solve for x
    x = 89,807,073,415.41/298,709.34
  6. Step 6: Final answer
    x = 300,650.37

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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.