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Finding the Fourth Proportional to 493,638.41, 740,310.90 and 209,324.76

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Solution

The fourth proportional to 493,638.41, 740,310.90 and 209,324.76 is: 313,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,638.41 : 740,310.90 = 209,324.76 : x
  2. Step 2: Convert to fraction form
    493,638.41/740,310.90 = 209,324.76/x
  3. Step 3: Cross multiply
    493,638.41x = 740,310.90 × 209,324.76
  4. Step 4: Simplify right side
    493,638.41x = 154,965,401,467.88
  5. Step 5: Solve for x
    x = 154,965,401,467.88/493,638.41
  6. Step 6: Final answer
    x = 313,924.93

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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.