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Finding the Fourth Proportional to 290,311.96, 435,610.61 and 130,500.80

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Solution

The fourth proportional to 290,311.96, 435,610.61 and 130,500.80 is: 195,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,311.96 : 435,610.61 = 130,500.80 : x
  2. Step 2: Convert to fraction form
    290,311.96/435,610.61 = 130,500.80/x
  3. Step 3: Cross multiply
    290,311.96x = 435,610.61 × 130,500.80
  4. Step 4: Simplify right side
    290,311.96x = 56,847,533,093.49
  5. Step 5: Solve for x
    x = 56,847,533,093.49/290,311.96
  6. Step 6: Final answer
    x = 195,815.33

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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.