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Finding the Fourth Proportional to 490,120.94, 735,007.46 and 143,807.78

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Solution

The fourth proportional to 490,120.94, 735,007.46 and 143,807.78 is: 215,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,120.94 : 735,007.46 = 143,807.78 : x
  2. Step 2: Convert to fraction form
    490,120.94/735,007.46 = 143,807.78/x
  3. Step 3: Cross multiply
    490,120.94x = 735,007.46 × 143,807.78
  4. Step 4: Simplify right side
    490,120.94x = 105,699,792,224.52
  5. Step 5: Solve for x
    x = 105,699,792,224.52/490,120.94
  6. Step 6: Final answer
    x = 215,660.63

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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.