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Finding the Fourth Proportional to 378,884.36, 522,860.42 and 258,236.42

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Solution

The fourth proportional to 378,884.36, 522,860.42 and 258,236.42 is: 356,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,884.36 : 522,860.42 = 258,236.42 : x
  2. Step 2: Convert to fraction form
    378,884.36/522,860.42 = 258,236.42/x
  3. Step 3: Cross multiply
    378,884.36x = 522,860.42 × 258,236.42
  4. Step 4: Simplify right side
    378,884.36x = 135,021,599,115.01
  5. Step 5: Solve for x
    x = 135,021,599,115.01/378,884.36
  6. Step 6: Final answer
    x = 356,366.26

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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.