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Finding the Fourth Proportional to 379,093.70, 522,722.79 and 309,967.49

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Solution

The fourth proportional to 379,093.70, 522,722.79 and 309,967.49 is: 427,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,093.70 : 522,722.79 = 309,967.49 : x
  2. Step 2: Convert to fraction form
    379,093.70/522,722.79 = 309,967.49/x
  3. Step 3: Cross multiply
    379,093.70x = 522,722.79 × 309,967.49
  4. Step 4: Simplify right side
    379,093.70x = 162,027,071,182.10
  5. Step 5: Solve for x
    x = 162,027,071,182.10/379,093.70
  6. Step 6: Final answer
    x = 427,406.39

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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.