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Finding the Fourth Proportional to 259,357.14, 388,408.77 and 214,654.86

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Solution

The fourth proportional to 259,357.14, 388,408.77 and 214,654.86 is: 321,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,357.14 : 388,408.77 = 214,654.86 : x
  2. Step 2: Convert to fraction form
    259,357.14/388,408.77 = 214,654.86/x
  3. Step 3: Cross multiply
    259,357.14x = 388,408.77 × 214,654.86
  4. Step 4: Simplify right side
    259,357.14x = 83,373,830,147.12
  5. Step 5: Solve for x
    x = 83,373,830,147.12/259,357.14
  6. Step 6: Final answer
    x = 321,463.41

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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.