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Finding the Fourth Proportional to 290,809.86, 436,383.36 and 122,316.90

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Solution

The fourth proportional to 290,809.86, 436,383.36 and 122,316.90 is: 183,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,809.86 : 436,383.36 = 122,316.90 : x
  2. Step 2: Convert to fraction form
    290,809.86/436,383.36 = 122,316.90/x
  3. Step 3: Cross multiply
    290,809.86x = 436,383.36 × 122,316.90
  4. Step 4: Simplify right side
    290,809.86x = 53,377,059,806.78
  5. Step 5: Solve for x
    x = 53,377,059,806.78/290,809.86
  6. Step 6: Final answer
    x = 183,546.25

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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.