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Finding the Fourth Proportional to 290,513.60, 435,795.50 and 80,151.54

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Solution

The fourth proportional to 290,513.60, 435,795.50 and 80,151.54 is: 120,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,513.60 : 435,795.50 = 80,151.54 : x
  2. Step 2: Convert to fraction form
    290,513.60/435,795.50 = 80,151.54/x
  3. Step 3: Cross multiply
    290,513.60x = 435,795.50 × 80,151.54
  4. Step 4: Simplify right side
    290,513.60x = 34,929,680,450.07
  5. Step 5: Solve for x
    x = 34,929,680,450.07/290,513.60
  6. Step 6: Final answer
    x = 120,234.23

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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.