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Finding the Fourth Proportional to 490,269.86, 735,215.24 and 190,709.99

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Solution

The fourth proportional to 490,269.86, 735,215.24 and 190,709.99 is: 285,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,269.86 : 735,215.24 = 190,709.99 : x
  2. Step 2: Convert to fraction form
    490,269.86/735,215.24 = 190,709.99/x
  3. Step 3: Cross multiply
    490,269.86x = 735,215.24 × 190,709.99
  4. Step 4: Simplify right side
    490,269.86x = 140,212,887,868.95
  5. Step 5: Solve for x
    x = 140,212,887,868.95/490,269.86
  6. Step 6: Final answer
    x = 285,991.25

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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.