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Finding the Fourth Proportional to 290,385.12, 400,866.24 and 193,749.60

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Solution

The fourth proportional to 290,385.12, 400,866.24 and 193,749.60 is: 267,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,385.12 : 400,866.24 = 193,749.60 : x
  2. Step 2: Convert to fraction form
    290,385.12/400,866.24 = 193,749.60/x
  3. Step 3: Cross multiply
    290,385.12x = 400,866.24 × 193,749.60
  4. Step 4: Simplify right side
    290,385.12x = 77,667,673,653.50
  5. Step 5: Solve for x
    x = 77,667,673,653.50/290,385.12
  6. Step 6: Final answer
    x = 267,464.37

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1.5x scale

Why These Related Problems?

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