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Finding the Fourth Proportional to 490,105.86, 735,453.36 and 209,623.38

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Solution

The fourth proportional to 490,105.86, 735,453.36 and 209,623.38 is: 314,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,105.86 : 735,453.36 = 209,623.38 : x
  2. Step 2: Convert to fraction form
    490,105.86/735,453.36 = 209,623.38/x
  3. Step 3: Cross multiply
    490,105.86x = 735,453.36 × 209,623.38
  4. Step 4: Simplify right side
    490,105.86x = 154,168,219,155.56
  5. Step 5: Solve for x
    x = 154,168,219,155.56/490,105.86
  6. Step 6: Final answer
    x = 314,561.06

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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.