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Finding the Fourth Proportional to 293,893.20, 439,918.20 and 210,949.20

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Solution

The fourth proportional to 293,893.20, 439,918.20 and 210,949.20 is: 315,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,893.20 : 439,918.20 = 210,949.20 : x
  2. Step 2: Convert to fraction form
    293,893.20/439,918.20 = 210,949.20/x
  3. Step 3: Cross multiply
    293,893.20x = 439,918.20 × 210,949.20
  4. Step 4: Simplify right side
    293,893.20x = 92,800,392,355.44
  5. Step 5: Solve for x
    x = 92,800,392,355.44/293,893.20
  6. Step 6: Final answer
    x = 315,762.30

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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.