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Finding the Fourth Proportional to 357,480.30, 493,325.73 and 196,337.28

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Solution

The fourth proportional to 357,480.30, 493,325.73 and 196,337.28 is: 270,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,480.30 : 493,325.73 = 196,337.28 : x
  2. Step 2: Convert to fraction form
    357,480.30/493,325.73 = 196,337.28/x
  3. Step 3: Cross multiply
    357,480.30x = 493,325.73 × 196,337.28
  4. Step 4: Simplify right side
    357,480.30x = 96,858,231,982.21
  5. Step 5: Solve for x
    x = 96,858,231,982.21/357,480.30
  6. Step 6: Final answer
    x = 270,947.05

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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.