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Finding the Fourth Proportional to 378,738.72, 522,662.22 and 208,978.92

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Solution

The fourth proportional to 378,738.72, 522,662.22 and 208,978.92 is: 288,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,738.72 : 522,662.22 = 208,978.92 : x
  2. Step 2: Convert to fraction form
    378,738.72/522,662.22 = 208,978.92/x
  3. Step 3: Cross multiply
    378,738.72x = 522,662.22 × 208,978.92
  4. Step 4: Simplify right side
    378,738.72x = 109,225,386,260.40
  5. Step 5: Solve for x
    x = 109,225,386,260.40/378,738.72
  6. Step 6: Final answer
    x = 288,392.45

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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.