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Finding the Fourth Proportional to 490,006.26, 735,054.85 and 190,509.60

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Solution

The fourth proportional to 490,006.26, 735,054.85 and 190,509.60 is: 285,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,006.26 : 735,054.85 = 190,509.60 : x
  2. Step 2: Convert to fraction form
    490,006.26/735,054.85 = 190,509.60/x
  3. Step 3: Cross multiply
    490,006.26x = 735,054.85 × 190,509.60
  4. Step 4: Simplify right side
    490,006.26x = 140,035,002,244.13
  5. Step 5: Solve for x
    x = 140,035,002,244.13/490,006.26
  6. Step 6: Final answer
    x = 285,782.07

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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.