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Finding the Fourth Proportional to 298,550.76, 412,524.64 and 238,616

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Solution

The fourth proportional to 298,550.76, 412,524.64 and 238,616 is: 329,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,550.76 : 412,524.64 = 238,616 : x
  2. Step 2: Convert to fraction form
    298,550.76/412,524.64 = 238,616/x
  3. Step 3: Cross multiply
    298,550.76x = 412,524.64 × 238,616
  4. Step 4: Simplify right side
    298,550.76x = 98,434,979,498.24
  5. Step 5: Solve for x
    x = 98,434,979,498.24/298,550.76
  6. Step 6: Final answer
    x = 329,709.36

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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.