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Finding the Fourth Proportional to 422,242.94, 633,405.90 and 122,726

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Solution

The fourth proportional to 422,242.94, 633,405.90 and 122,726 is: 184,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,242.94 : 633,405.90 = 122,726 : x
  2. Step 2: Convert to fraction form
    422,242.94/633,405.90 = 122,726/x
  3. Step 3: Cross multiply
    422,242.94x = 633,405.90 × 122,726
  4. Step 4: Simplify right side
    422,242.94x = 77,735,372,483.40
  5. Step 5: Solve for x
    x = 77,735,372,483.40/422,242.94
  6. Step 6: Final answer
    x = 184,101.06

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Why These Related Problems?

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