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Finding the Fourth Proportional to 378,464.54, 522,284.96 and 208,704.74

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Solution

The fourth proportional to 378,464.54, 522,284.96 and 208,704.74 is: 288,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,464.54 : 522,284.96 = 208,704.74 : x
  2. Step 2: Convert to fraction form
    378,464.54/522,284.96 = 208,704.74/x
  3. Step 3: Cross multiply
    378,464.54x = 522,284.96 × 208,704.74
  4. Step 4: Simplify right side
    378,464.54x = 109,003,344,693.05
  5. Step 5: Solve for x
    x = 109,003,344,693.05/378,464.54
  6. Step 6: Final answer
    x = 288,014.69

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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.