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Finding the Fourth Proportional to 299,212.98, 412,950.21 and 218,600.16

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Solution

The fourth proportional to 299,212.98, 412,950.21 and 218,600.16 is: 301,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,212.98 : 412,950.21 = 218,600.16 : x
  2. Step 2: Convert to fraction form
    299,212.98/412,950.21 = 218,600.16/x
  3. Step 3: Cross multiply
    299,212.98x = 412,950.21 × 218,600.16
  4. Step 4: Simplify right side
    299,212.98x = 90,270,981,978.03
  5. Step 5: Solve for x
    x = 90,270,981,978.03/299,212.98
  6. Step 6: Final answer
    x = 301,694.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.