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Finding the Fourth Proportional to 490,602.70, 735,357.30 and 190,983.70

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Solution

The fourth proportional to 490,602.70, 735,357.30 and 190,983.70 is: 286,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,602.70 : 735,357.30 = 190,983.70 : x
  2. Step 2: Convert to fraction form
    490,602.70/735,357.30 = 190,983.70/x
  3. Step 3: Cross multiply
    490,602.70x = 735,357.30 × 190,983.70
  4. Step 4: Simplify right side
    490,602.70x = 140,441,257,976.01
  5. Step 5: Solve for x
    x = 140,441,257,976.01/490,602.70
  6. Step 6: Final answer
    x = 286,262.71

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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.