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Finding the Fourth Proportional to 379,006.86, 522,969.87 and 217,830.78

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Solution

The fourth proportional to 379,006.86, 522,969.87 and 217,830.78 is: 300,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,006.86 : 522,969.87 = 217,830.78 : x
  2. Step 2: Convert to fraction form
    379,006.86/522,969.87 = 217,830.78/x
  3. Step 3: Cross multiply
    379,006.86x = 522,969.87 × 217,830.78
  4. Step 4: Simplify right side
    379,006.86x = 113,918,934,698.60
  5. Step 5: Solve for x
    x = 113,918,934,698.60/379,006.86
  6. Step 6: Final answer
    x = 300,572.22

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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.