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Finding the Fourth Proportional to 298,285.31, 411,633.80 and 164,149.31

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Solution

The fourth proportional to 298,285.31, 411,633.80 and 164,149.31 is: 226,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.31 : 411,633.80 = 164,149.31 : x
  2. Step 2: Convert to fraction form
    298,285.31/411,633.80 = 164,149.31/x
  3. Step 3: Cross multiply
    298,285.31x = 411,633.80 × 164,149.31
  4. Step 4: Simplify right side
    298,285.31x = 67,569,405,682.14
  5. Step 5: Solve for x
    x = 67,569,405,682.14/298,285.31
  6. Step 6: Final answer
    x = 226,526.09

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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.