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Finding the Fourth Proportional to 378,647.92, 522,525.72 and 208,882

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Solution

The fourth proportional to 378,647.92, 522,525.72 and 208,882 is: 288,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,647.92 : 522,525.72 = 208,882 : x
  2. Step 2: Convert to fraction form
    378,647.92/522,525.72 = 208,882/x
  3. Step 3: Cross multiply
    378,647.92x = 522,525.72 × 208,882
  4. Step 4: Simplify right side
    378,647.92x = 109,146,217,445.04
  5. Step 5: Solve for x
    x = 109,146,217,445.04/378,647.92
  6. Step 6: Final answer
    x = 288,252.52

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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.