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Finding the Fourth Proportional to 301,087.50, 451,631.46 and 76,464.78

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Solution

The fourth proportional to 301,087.50, 451,631.46 and 76,464.78 is: 114,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,087.50 : 451,631.46 = 76,464.78 : x
  2. Step 2: Convert to fraction form
    301,087.50/451,631.46 = 76,464.78/x
  3. Step 3: Cross multiply
    301,087.50x = 451,631.46 × 76,464.78
  4. Step 4: Simplify right side
    301,087.50x = 34,533,900,229.98
  5. Step 5: Solve for x
    x = 34,533,900,229.98/301,087.50
  6. Step 6: Final answer
    x = 114,697.22

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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.