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Finding the Fourth Proportional to 378,508.44, 522,341.40 and 208,742.64

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Solution

The fourth proportional to 378,508.44, 522,341.40 and 208,742.64 is: 288,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,508.44 : 522,341.40 = 208,742.64 : x
  2. Step 2: Convert to fraction form
    378,508.44/522,341.40 = 208,742.64/x
  3. Step 3: Cross multiply
    378,508.44x = 522,341.40 × 208,742.64
  4. Step 4: Simplify right side
    378,508.44x = 109,034,922,817.30
  5. Step 5: Solve for x
    x = 109,034,922,817.30/378,508.44
  6. Step 6: Final answer
    x = 288,064.71

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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.