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Finding the Fourth Proportional to 380,610.40, 570,736.80 and 220,731.78

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Solution

The fourth proportional to 380,610.40, 570,736.80 and 220,731.78 is: 330,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,610.40 : 570,736.80 = 220,731.78 : x
  2. Step 2: Convert to fraction form
    380,610.40/570,736.80 = 220,731.78/x
  3. Step 3: Cross multiply
    380,610.40x = 570,736.80 × 220,731.78
  4. Step 4: Simplify right side
    380,610.40x = 125,979,749,775.50
  5. Step 5: Solve for x
    x = 125,979,749,775.50/380,610.40
  6. Step 6: Final answer
    x = 330,993.98

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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.