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Finding the Fourth Proportional to 369,231.81, 509,540.61 and 214,213.20

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Solution

The fourth proportional to 369,231.81, 509,540.61 and 214,213.20 is: 295,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,231.81 : 509,540.61 = 214,213.20 : x
  2. Step 2: Convert to fraction form
    369,231.81/509,540.61 = 214,213.20/x
  3. Step 3: Cross multiply
    369,231.81x = 509,540.61 × 214,213.20
  4. Step 4: Simplify right side
    369,231.81x = 109,150,323,526.99
  5. Step 5: Solve for x
    x = 109,150,323,526.99/369,231.81
  6. Step 6: Final answer
    x = 295,614.63

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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.