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Finding the Fourth Proportional to 298,285.81, 411,634.49 and 164,149.81

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Solution

The fourth proportional to 298,285.81, 411,634.49 and 164,149.81 is: 226,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.81 : 411,634.49 = 164,149.81 : x
  2. Step 2: Convert to fraction form
    298,285.81/411,634.49 = 164,149.81/x
  3. Step 3: Cross multiply
    298,285.81x = 411,634.49 × 164,149.81
  4. Step 4: Simplify right side
    298,285.81x = 67,569,723,322.95
  5. Step 5: Solve for x
    x = 67,569,723,322.95/298,285.81
  6. Step 6: Final answer
    x = 226,526.78

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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.