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Finding the Fourth Proportional to 378,883.44, 522,858.60 and 209,117.16

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Solution

The fourth proportional to 378,883.44, 522,858.60 and 209,117.16 is: 288,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,883.44 : 522,858.60 = 209,117.16 : x
  2. Step 2: Convert to fraction form
    378,883.44/522,858.60 = 209,117.16/x
  3. Step 3: Cross multiply
    378,883.44x = 522,858.60 × 209,117.16
  4. Step 4: Simplify right side
    378,883.44x = 109,338,705,513.58
  5. Step 5: Solve for x
    x = 109,338,705,513.58/378,883.44
  6. Step 6: Final answer
    x = 288,581.38

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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.