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Finding the Fourth Proportional to 345,144.66, 476,185.46 and 201,803.21

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Solution

The fourth proportional to 345,144.66, 476,185.46 and 201,803.21 is: 278,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,144.66 : 476,185.46 = 201,803.21 : x
  2. Step 2: Convert to fraction form
    345,144.66/476,185.46 = 201,803.21/x
  3. Step 3: Cross multiply
    345,144.66x = 476,185.46 × 201,803.21
  4. Step 4: Simplify right side
    345,144.66x = 96,095,754,383.33
  5. Step 5: Solve for x
    x = 96,095,754,383.33/345,144.66
  6. Step 6: Final answer
    x = 278,421.68

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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.