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Finding the Fourth Proportional to 367,976.06, 507,821.34 and 206,830.61

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Solution

The fourth proportional to 367,976.06, 507,821.34 and 206,830.61 is: 285,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,976.06 : 507,821.34 = 206,830.61 : x
  2. Step 2: Convert to fraction form
    367,976.06/507,821.34 = 206,830.61/x
  3. Step 3: Cross multiply
    367,976.06x = 507,821.34 × 206,830.61
  4. Step 4: Simplify right side
    367,976.06x = 105,032,997,523.22
  5. Step 5: Solve for x
    x = 105,032,997,523.22/367,976.06
  6. Step 6: Final answer
    x = 285,434.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.