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Finding the Fourth Proportional to 258,842.12, 388,327.56 and 205,734.46

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Solution

The fourth proportional to 258,842.12, 388,327.56 and 205,734.46 is: 308,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,842.12 : 388,327.56 = 205,734.46 : x
  2. Step 2: Convert to fraction form
    258,842.12/388,327.56 = 205,734.46/x
  3. Step 3: Cross multiply
    258,842.12x = 388,327.56 × 205,734.46
  4. Step 4: Simplify right side
    258,842.12x = 79,892,360,859.72
  5. Step 5: Solve for x
    x = 79,892,360,859.72/258,842.12
  6. Step 6: Final answer
    x = 308,652.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.