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Finding the Fourth Proportional to 265,322.45, 397,651.49 and 208,939.87

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Solution

The fourth proportional to 265,322.45, 397,651.49 and 208,939.87 is: 313,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,322.45 : 397,651.49 = 208,939.87 : x
  2. Step 2: Convert to fraction form
    265,322.45/397,651.49 = 208,939.87/x
  3. Step 3: Cross multiply
    265,322.45x = 397,651.49 × 208,939.87
  4. Step 4: Simplify right side
    265,322.45x = 83,085,252,037.08
  5. Step 5: Solve for x
    x = 83,085,252,037.08/265,322.45
  6. Step 6: Final answer
    x = 313,148.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.