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Finding the Fourth Proportional to 378,275.75, 522,004.81 and 206,189.93

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Solution

The fourth proportional to 378,275.75, 522,004.81 and 206,189.93 is: 284,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,275.75 : 522,004.81 = 206,189.93 : x
  2. Step 2: Convert to fraction form
    378,275.75/522,004.81 = 206,189.93/x
  3. Step 3: Cross multiply
    378,275.75x = 522,004.81 × 206,189.93
  4. Step 4: Simplify right side
    378,275.75x = 107,632,132,108.06
  5. Step 5: Solve for x
    x = 107,632,132,108.06/378,275.75
  6. Step 6: Final answer
    x = 284,533.53

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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.