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Finding the Fourth Proportional to 293,213.20, 439,819.80 and 199,901.20

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Solution

The fourth proportional to 293,213.20, 439,819.80 and 199,901.20 is: 299,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,213.20 : 439,819.80 = 199,901.20 : x
  2. Step 2: Convert to fraction form
    293,213.20/439,819.80 = 199,901.20/x
  3. Step 3: Cross multiply
    293,213.20x = 439,819.80 × 199,901.20
  4. Step 4: Simplify right side
    293,213.20x = 87,920,505,803.76
  5. Step 5: Solve for x
    x = 87,920,505,803.76/293,213.20
  6. Step 6: Final answer
    x = 299,851.80

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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.