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Finding the Fourth Proportional to 290,782.56, 436,182.48 and 80,436

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Solution

The fourth proportional to 290,782.56, 436,182.48 and 80,436 is: 120,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,782.56 : 436,182.48 = 80,436 : x
  2. Step 2: Convert to fraction form
    290,782.56/436,182.48 = 80,436/x
  3. Step 3: Cross multiply
    290,782.56x = 436,182.48 × 80,436
  4. Step 4: Simplify right side
    290,782.56x = 35,084,773,961.28
  5. Step 5: Solve for x
    x = 35,084,773,961.28/290,782.56
  6. Step 6: Final answer
    x = 120,656.39

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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.