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Finding the Fourth Proportional to 355,803.18, 491,186.07 and 204,871.02

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Solution

The fourth proportional to 355,803.18, 491,186.07 and 204,871.02 is: 282,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,803.18 : 491,186.07 = 204,871.02 : x
  2. Step 2: Convert to fraction form
    355,803.18/491,186.07 = 204,871.02/x
  3. Step 3: Cross multiply
    355,803.18x = 491,186.07 × 204,871.02
  4. Step 4: Simplify right side
    355,803.18x = 100,629,791,170.69
  5. Step 5: Solve for x
    x = 100,629,791,170.69/355,803.18
  6. Step 6: Final answer
    x = 282,824.32

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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.