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Finding the Fourth Proportional to 274,488.82, 378,493.77 and 178,818.10

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Solution

The fourth proportional to 274,488.82, 378,493.77 and 178,818.10 is: 246,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,488.82 : 378,493.77 = 178,818.10 : x
  2. Step 2: Convert to fraction form
    274,488.82/378,493.77 = 178,818.10/x
  3. Step 3: Cross multiply
    274,488.82x = 378,493.77 × 178,818.10
  4. Step 4: Simplify right side
    274,488.82x = 67,681,536,813.24
  5. Step 5: Solve for x
    x = 67,681,536,813.24/274,488.82
  6. Step 6: Final answer
    x = 246,573.02

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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.