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Finding the Fourth Proportional to 327,094.40, 490,592.40 and 209,586.89

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Solution

The fourth proportional to 327,094.40, 490,592.40 and 209,586.89 is: 314,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,094.40 : 490,592.40 = 209,586.89 : x
  2. Step 2: Convert to fraction form
    327,094.40/490,592.40 = 209,586.89/x
  3. Step 3: Cross multiply
    327,094.40x = 490,592.40 × 209,586.89
  4. Step 4: Simplify right side
    327,094.40x = 102,821,735,814.17
  5. Step 5: Solve for x
    x = 102,821,735,814.17/327,094.40
  6. Step 6: Final answer
    x = 314,348.81

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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.