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Finding the Fourth Proportional to 290,596.64, 435,919.95 and 80,234.55

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Solution

The fourth proportional to 290,596.64, 435,919.95 and 80,234.55 is: 120,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,596.64 : 435,919.95 = 80,234.55 : x
  2. Step 2: Convert to fraction form
    290,596.64/435,919.95 = 80,234.55/x
  3. Step 3: Cross multiply
    290,596.64x = 435,919.95 × 80,234.55
  4. Step 4: Simplify right side
    290,596.64x = 34,975,841,024.27
  5. Step 5: Solve for x
    x = 34,975,841,024.27/290,596.64
  6. Step 6: Final answer
    x = 120,358.73

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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.