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Finding the Fourth Proportional to 290,277.58, 435,584.49 and 121,783

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Solution

The fourth proportional to 290,277.58, 435,584.49 and 121,783 is: 182,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,277.58 : 435,584.49 = 121,783 : x
  2. Step 2: Convert to fraction form
    290,277.58/435,584.49 = 121,783/x
  3. Step 3: Cross multiply
    290,277.58x = 435,584.49 × 121,783
  4. Step 4: Simplify right side
    290,277.58x = 53,046,785,945.67
  5. Step 5: Solve for x
    x = 53,046,785,945.67/290,277.58
  6. Step 6: Final answer
    x = 182,745.03

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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.