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Finding the Fourth Proportional to 405,147.88, 607,751.37 and 138,906.14

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Solution

The fourth proportional to 405,147.88, 607,751.37 and 138,906.14 is: 208,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,147.88 : 607,751.37 = 138,906.14 : x
  2. Step 2: Convert to fraction form
    405,147.88/607,751.37 = 138,906.14/x
  3. Step 3: Cross multiply
    405,147.88x = 607,751.37 × 138,906.14
  4. Step 4: Simplify right side
    405,147.88x = 84,420,396,886.41
  5. Step 5: Solve for x
    x = 84,420,396,886.41/405,147.88
  6. Step 6: Final answer
    x = 208,369.34

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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.