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Finding the Fourth Proportional to 259,546, 358,173.84 and 140,314

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Solution

The fourth proportional to 259,546, 358,173.84 and 140,314 is: 193,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,546 : 358,173.84 = 140,314 : x
  2. Step 2: Convert to fraction form
    259,546/358,173.84 = 140,314/x
  3. Step 3: Cross multiply
    259,546x = 358,173.84 × 140,314
  4. Step 4: Simplify right side
    259,546x = 50,256,804,185.76
  5. Step 5: Solve for x
    x = 50,256,804,185.76/259,546
  6. Step 6: Final answer
    x = 193,633.51

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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.