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Finding the Fourth Proportional to 290,516.58, 435,762.99 and 80,149.14

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Solution

The fourth proportional to 290,516.58, 435,762.99 and 80,149.14 is: 120,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,516.58 : 435,762.99 = 80,149.14 : x
  2. Step 2: Convert to fraction form
    290,516.58/435,762.99 = 80,149.14/x
  3. Step 3: Cross multiply
    290,516.58x = 435,762.99 × 80,149.14
  4. Step 4: Simplify right side
    290,516.58x = 34,926,028,892.33
  5. Step 5: Solve for x
    x = 34,926,028,892.33/290,516.58
  6. Step 6: Final answer
    x = 120,220.43

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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.