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Finding the Fourth Proportional to 290,277.72, 435,584.76 and 121,783.14

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Solution

The fourth proportional to 290,277.72, 435,584.76 and 121,783.14 is: 182,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,277.72 : 435,584.76 = 121,783.14 : x
  2. Step 2: Convert to fraction form
    290,277.72/435,584.76 = 121,783.14/x
  3. Step 3: Cross multiply
    290,277.72x = 435,584.76 × 121,783.14
  4. Step 4: Simplify right side
    290,277.72x = 53,046,879,808.95
  5. Step 5: Solve for x
    x = 53,046,879,808.95/290,277.72
  6. Step 6: Final answer
    x = 182,745.27

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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.