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Finding the Fourth Proportional to 427,742.80, 640,231.80 and 333,739.60

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Solution

The fourth proportional to 427,742.80, 640,231.80 and 333,739.60 is: 499,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,742.80 : 640,231.80 = 333,739.60 : x
  2. Step 2: Convert to fraction form
    427,742.80/640,231.80 = 333,739.60/x
  3. Step 3: Cross multiply
    427,742.80x = 640,231.80 × 333,739.60
  4. Step 4: Simplify right side
    427,742.80x = 213,670,704,839.28
  5. Step 5: Solve for x
    x = 213,670,704,839.28/427,742.80
  6. Step 6: Final answer
    x = 499,530.80

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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.