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Finding the Fourth Proportional to 378,277.36, 522,019.42 and 206,195.36

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Solution

The fourth proportional to 378,277.36, 522,019.42 and 206,195.36 is: 284,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,277.36 : 522,019.42 = 206,195.36 : x
  2. Step 2: Convert to fraction form
    378,277.36/522,019.42 = 206,195.36/x
  3. Step 3: Cross multiply
    378,277.36x = 522,019.42 × 206,195.36
  4. Step 4: Simplify right side
    378,277.36x = 107,637,979,108.31
  5. Step 5: Solve for x
    x = 107,637,979,108.31/378,277.36
  6. Step 6: Final answer
    x = 284,547.77

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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.