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Finding the Fourth Proportional to 324,114.40, 486,171.60 and 205,919.20

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Solution

The fourth proportional to 324,114.40, 486,171.60 and 205,919.20 is: 308,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,114.40 : 486,171.60 = 205,919.20 : x
  2. Step 2: Convert to fraction form
    324,114.40/486,171.60 = 205,919.20/x
  3. Step 3: Cross multiply
    324,114.40x = 486,171.60 × 205,919.20
  4. Step 4: Simplify right side
    324,114.40x = 100,112,066,934.72
  5. Step 5: Solve for x
    x = 100,112,066,934.72/324,114.40
  6. Step 6: Final answer
    x = 308,878.80

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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.