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Finding the Fourth Proportional to 327,095.40, 490,593.90 and 209,587.89

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Solution

The fourth proportional to 327,095.40, 490,593.90 and 209,587.89 is: 314,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,095.40 : 490,593.90 = 209,587.89 : x
  2. Step 2: Convert to fraction form
    327,095.40/490,593.90 = 209,587.89/x
  3. Step 3: Cross multiply
    327,095.40x = 490,593.90 × 209,587.89
  4. Step 4: Simplify right side
    327,095.40x = 102,822,540,347.87
  5. Step 5: Solve for x
    x = 102,822,540,347.87/327,095.40
  6. Step 6: Final answer
    x = 314,350.31

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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.