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Finding the Fourth Proportional to 322,944.16, 445,410.48 and 209,803.36

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Solution

The fourth proportional to 322,944.16, 445,410.48 and 209,803.36 is: 289,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,944.16 : 445,410.48 = 209,803.36 : x
  2. Step 2: Convert to fraction form
    322,944.16/445,410.48 = 209,803.36/x
  3. Step 3: Cross multiply
    322,944.16x = 445,410.48 × 209,803.36
  4. Step 4: Simplify right side
    322,944.16x = 93,448,615,283.21
  5. Step 5: Solve for x
    x = 93,448,615,283.21/322,944.16
  6. Step 6: Final answer
    x = 289,364.62

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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.