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Finding the Fourth Proportional to 378,165, 521,878.68 and 208,410.24

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Solution

The fourth proportional to 378,165, 521,878.68 and 208,410.24 is: 287,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,165 : 521,878.68 = 208,410.24 : x
  2. Step 2: Convert to fraction form
    378,165/521,878.68 = 208,410.24/x
  3. Step 3: Cross multiply
    378,165x = 521,878.68 × 208,410.24
  4. Step 4: Simplify right side
    378,165x = 108,764,860,949.68
  5. Step 5: Solve for x
    x = 108,764,860,949.68/378,165
  6. Step 6: Final answer
    x = 287,612.18

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1.5x scale

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.