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Finding the Fourth Proportional to 380,750.56, 570,978.19 and 203,160.68

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Solution

The fourth proportional to 380,750.56, 570,978.19 and 203,160.68 is: 304,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,750.56 : 570,978.19 = 203,160.68 : x
  2. Step 2: Convert to fraction form
    380,750.56/570,978.19 = 203,160.68/x
  3. Step 3: Cross multiply
    380,750.56x = 570,978.19 × 203,160.68
  4. Step 4: Simplify right side
    380,750.56x = 116,000,317,345.57
  5. Step 5: Solve for x
    x = 116,000,317,345.57/380,750.56
  6. Step 6: Final answer
    x = 304,662.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.