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Finding the Fourth Proportional to 378,967.76, 522,975.60 and 209,202

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Solution

The fourth proportional to 378,967.76, 522,975.60 and 209,202 is: 288,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,967.76 : 522,975.60 = 209,202 : x
  2. Step 2: Convert to fraction form
    378,967.76/522,975.60 = 209,202/x
  3. Step 3: Cross multiply
    378,967.76x = 522,975.60 × 209,202
  4. Step 4: Simplify right side
    378,967.76x = 109,407,541,471.20
  5. Step 5: Solve for x
    x = 109,407,541,471.20/378,967.76
  6. Step 6: Final answer
    x = 288,698.81

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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.