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Finding the Fourth Proportional to 275,898.70, 413,301.30 and 243,020.80

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Solution

The fourth proportional to 275,898.70, 413,301.30 and 243,020.80 is: 364,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,898.70 : 413,301.30 = 243,020.80 : x
  2. Step 2: Convert to fraction form
    275,898.70/413,301.30 = 243,020.80/x
  3. Step 3: Cross multiply
    275,898.70x = 413,301.30 × 243,020.80
  4. Step 4: Simplify right side
    275,898.70x = 100,440,812,567.04
  5. Step 5: Solve for x
    x = 100,440,812,567.04/275,898.70
  6. Step 6: Final answer
    x = 364,049.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.