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Finding the Fourth Proportional to 853,211, 1,280,027 and 254,169.83

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Solution

The fourth proportional to 853,211, 1,280,027 and 254,169.83 is: 381,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,211 : 1,280,027 = 254,169.83 : x
  2. Step 2: Convert to fraction form
    853,211/1,280,027 = 254,169.83/x
  3. Step 3: Cross multiply
    853,211x = 1,280,027 × 254,169.83
  4. Step 4: Simplify right side
    853,211x = 325,344,244,985.41
  5. Step 5: Solve for x
    x = 325,344,244,985.41/853,211
  6. Step 6: Final answer
    x = 381,317.45

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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.