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Finding the Fourth Proportional to 355,120, 490,065.60 and 196,154.24

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Solution

The fourth proportional to 355,120, 490,065.60 and 196,154.24 is: 270,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,120 : 490,065.60 = 196,154.24 : x
  2. Step 2: Convert to fraction form
    355,120/490,065.60 = 196,154.24/x
  3. Step 3: Cross multiply
    355,120x = 490,065.60 × 196,154.24
  4. Step 4: Simplify right side
    355,120x = 96,128,445,318.14
  5. Step 5: Solve for x
    x = 96,128,445,318.14/355,120
  6. Step 6: Final answer
    x = 270,692.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.