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Finding the Fourth Proportional to 490,192.60, 735,143.10 and 190,500.70

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Solution

The fourth proportional to 490,192.60, 735,143.10 and 190,500.70 is: 285,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,192.60 : 735,143.10 = 190,500.70 : x
  2. Step 2: Convert to fraction form
    490,192.60/735,143.10 = 190,500.70/x
  3. Step 3: Cross multiply
    490,192.60x = 735,143.10 × 190,500.70
  4. Step 4: Simplify right side
    490,192.60x = 140,045,275,150.17
  5. Step 5: Solve for x
    x = 140,045,275,150.17/490,192.60
  6. Step 6: Final answer
    x = 285,694.39

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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.