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Finding the Fourth Proportional to 301,155.57, 415,687.75 and 193,725.68

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Solution

The fourth proportional to 301,155.57, 415,687.75 and 193,725.68 is: 267,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,155.57 : 415,687.75 = 193,725.68 : x
  2. Step 2: Convert to fraction form
    301,155.57/415,687.75 = 193,725.68/x
  3. Step 3: Cross multiply
    301,155.57x = 415,687.75 × 193,725.68
  4. Step 4: Simplify right side
    301,155.57x = 80,529,389,473.67
  5. Step 5: Solve for x
    x = 80,529,389,473.67/301,155.57
  6. Step 6: Final answer
    x = 267,401.30

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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.