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Finding the Fourth Proportional to 378,271.44, 522,014.49 and 208,508.40

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Solution

The fourth proportional to 378,271.44, 522,014.49 and 208,508.40 is: 287,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,271.44 : 522,014.49 = 208,508.40 : x
  2. Step 2: Convert to fraction form
    378,271.44/522,014.49 = 208,508.40/x
  3. Step 3: Cross multiply
    378,271.44x = 522,014.49 × 208,508.40
  4. Step 4: Simplify right side
    378,271.44x = 108,844,406,086.72
  5. Step 5: Solve for x
    x = 108,844,406,086.72/378,271.44
  6. Step 6: Final answer
    x = 287,741.54

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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.