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Finding the Fourth Proportional to 358,200.16, 494,261.40 and 207,268

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Solution

The fourth proportional to 358,200.16, 494,261.40 and 207,268 is: 285,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,200.16 : 494,261.40 = 207,268 : x
  2. Step 2: Convert to fraction form
    358,200.16/494,261.40 = 207,268/x
  3. Step 3: Cross multiply
    358,200.16x = 494,261.40 × 207,268
  4. Step 4: Simplify right side
    358,200.16x = 102,444,571,855.20
  5. Step 5: Solve for x
    x = 102,444,571,855.20/358,200.16
  6. Step 6: Final answer
    x = 285,998.12

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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.