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Finding the Fourth Proportional to 204,820.40, 307,230.60 and 188,231.60

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Solution

The fourth proportional to 204,820.40, 307,230.60 and 188,231.60 is: 282,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,820.40 : 307,230.60 = 188,231.60 : x
  2. Step 2: Convert to fraction form
    204,820.40/307,230.60 = 188,231.60/x
  3. Step 3: Cross multiply
    204,820.40x = 307,230.60 × 188,231.60
  4. Step 4: Simplify right side
    204,820.40x = 57,830,507,406.96
  5. Step 5: Solve for x
    x = 57,830,507,406.96/204,820.40
  6. Step 6: Final answer
    x = 282,347.40

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1.5x scale

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.