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Finding the Fourth Proportional to 378,996.45, 522,391.82 and 268,652.06

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Solution

The fourth proportional to 378,996.45, 522,391.82 and 268,652.06 is: 370,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,996.45 : 522,391.82 = 268,652.06 : x
  2. Step 2: Convert to fraction form
    378,996.45/522,391.82 = 268,652.06/x
  3. Step 3: Cross multiply
    378,996.45x = 522,391.82 × 268,652.06
  4. Step 4: Simplify right side
    378,996.45x = 140,341,638,570.15
  5. Step 5: Solve for x
    x = 140,341,638,570.15/378,996.45
  6. Step 6: Final answer
    x = 370,298.03

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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.