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Finding the Fourth Proportional to 767,951.86, 1,151,796.51 and 206,855.14

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Solution

The fourth proportional to 767,951.86, 1,151,796.51 and 206,855.14 is: 310,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,951.86 : 1,151,796.51 = 206,855.14 : x
  2. Step 2: Convert to fraction form
    767,951.86/1,151,796.51 = 206,855.14/x
  3. Step 3: Cross multiply
    767,951.86x = 1,151,796.51 × 206,855.14
  4. Step 4: Simplify right side
    767,951.86x = 238,255,028,327.56
  5. Step 5: Solve for x
    x = 238,255,028,327.56/767,951.86
  6. Step 6: Final answer
    x = 310,247.35

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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.