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Finding the Fourth Proportional to 378,880.12, 522,853.44 and 209,113

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Solution

The fourth proportional to 378,880.12, 522,853.44 and 209,113 is: 288,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,880.12 : 522,853.44 = 209,113 : x
  2. Step 2: Convert to fraction form
    378,880.12/522,853.44 = 209,113/x
  3. Step 3: Cross multiply
    378,880.12x = 522,853.44 × 209,113
  4. Step 4: Simplify right side
    378,880.12x = 109,335,451,398.72
  5. Step 5: Solve for x
    x = 109,335,451,398.72/378,880.12
  6. Step 6: Final answer
    x = 288,575.32

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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.