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Finding the Fourth Proportional to 490,230.80, 735,346.78 and 153,273.22

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Solution

The fourth proportional to 490,230.80, 735,346.78 and 153,273.22 is: 229,910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,230.80 : 735,346.78 = 153,273.22 : x
  2. Step 2: Convert to fraction form
    490,230.80/735,346.78 = 153,273.22/x
  3. Step 3: Cross multiply
    490,230.80x = 735,346.78 × 153,273.22
  4. Step 4: Simplify right side
    490,230.80x = 112,708,968,020.87
  5. Step 5: Solve for x
    x = 112,708,968,020.87/490,230.80
  6. Step 6: Final answer
    x = 229,910.01

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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.