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Finding the Fourth Proportional to 270,480.20, 405,720.30 and 208,272.20

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Solution

The fourth proportional to 270,480.20, 405,720.30 and 208,272.20 is: 312,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,480.20 : 405,720.30 = 208,272.20 : x
  2. Step 2: Convert to fraction form
    270,480.20/405,720.30 = 208,272.20/x
  3. Step 3: Cross multiply
    270,480.20x = 405,720.30 × 208,272.20
  4. Step 4: Simplify right side
    270,480.20x = 84,500,259,465.66
  5. Step 5: Solve for x
    x = 84,500,259,465.66/270,480.20
  6. Step 6: Final answer
    x = 312,408.30

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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.