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Finding the Fourth Proportional to 368,057.54, 507,919.47 and 206,912.90

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Solution

The fourth proportional to 368,057.54, 507,919.47 and 206,912.90 is: 285,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,057.54 : 507,919.47 = 206,912.90 : x
  2. Step 2: Convert to fraction form
    368,057.54/507,919.47 = 206,912.90/x
  3. Step 3: Cross multiply
    368,057.54x = 507,919.47 × 206,912.90
  4. Step 4: Simplify right side
    368,057.54x = 105,095,090,504.16
  5. Step 5: Solve for x
    x = 105,095,090,504.16/368,057.54
  6. Step 6: Final answer
    x = 285,539.84

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1.5x scale

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.