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Finding the Fourth Proportional to 209,745.43, 314,496.64 and 143,265.90

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Solution

The fourth proportional to 209,745.43, 314,496.64 and 143,265.90 is: 214,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,745.43 : 314,496.64 = 143,265.90 : x
  2. Step 2: Convert to fraction form
    209,745.43/314,496.64 = 143,265.90/x
  3. Step 3: Cross multiply
    209,745.43x = 314,496.64 × 143,265.90
  4. Step 4: Simplify right side
    209,745.43x = 45,056,644,176.58
  5. Step 5: Solve for x
    x = 45,056,644,176.58/209,745.43
  6. Step 6: Final answer
    x = 214,815.86

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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.