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Finding the Fourth Proportional to 290,511.23, 435,791.94 and 80,149.16

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Solution

The fourth proportional to 290,511.23, 435,791.94 and 80,149.16 is: 120,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,511.23 : 435,791.94 = 80,149.16 : x
  2. Step 2: Convert to fraction form
    290,511.23/435,791.94 = 80,149.16/x
  3. Step 3: Cross multiply
    290,511.23x = 435,791.94 × 80,149.16
  4. Step 4: Simplify right side
    290,511.23x = 34,928,355,746.81
  5. Step 5: Solve for x
    x = 34,928,355,746.81/290,511.23
  6. Step 6: Final answer
    x = 120,230.66

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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.