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Finding the Fourth Proportional to 290,511.42, 435,792.23 and 80,149.35

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Solution

The fourth proportional to 290,511.42, 435,792.23 and 80,149.35 is: 120,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,511.42 : 435,792.23 = 80,149.35 : x
  2. Step 2: Convert to fraction form
    290,511.42/435,792.23 = 80,149.35/x
  3. Step 3: Cross multiply
    290,511.42x = 435,792.23 × 80,149.35
  4. Step 4: Simplify right side
    290,511.42x = 34,928,463,969.55
  5. Step 5: Solve for x
    x = 34,928,463,969.55/290,511.42
  6. Step 6: Final answer
    x = 120,230.95

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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.