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Finding the Fourth Proportional to 290,617.98, 435,786.57 and 122,090.46

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Solution

The fourth proportional to 290,617.98, 435,786.57 and 122,090.46 is: 183,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,617.98 : 435,786.57 = 122,090.46 : x
  2. Step 2: Convert to fraction form
    290,617.98/435,786.57 = 122,090.46/x
  3. Step 3: Cross multiply
    290,617.98x = 435,786.57 × 122,090.46
  4. Step 4: Simplify right side
    290,617.98x = 53,205,382,793.12
  5. Step 5: Solve for x
    x = 53,205,382,793.12/290,617.98
  6. Step 6: Final answer
    x = 183,076.71

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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.