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Finding the Fourth Proportional to 290,638.26, 435,982.41 and 80,276.22

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Solution

The fourth proportional to 290,638.26, 435,982.41 and 80,276.22 is: 120,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,638.26 : 435,982.41 = 80,276.22 : x
  2. Step 2: Convert to fraction form
    290,638.26/435,982.41 = 80,276.22/x
  3. Step 3: Cross multiply
    290,638.26x = 435,982.41 × 80,276.22
  4. Step 4: Simplify right side
    290,638.26x = 34,999,019,861.29
  5. Step 5: Solve for x
    x = 34,999,019,861.29/290,638.26
  6. Step 6: Final answer
    x = 120,421.24

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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.