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Finding the Fourth Proportional to 307,972, 461,958 and 74,500

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Solution

The fourth proportional to 307,972, 461,958 and 74,500 is: 111,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,972 : 461,958 = 74,500 : x
  2. Step 2: Convert to fraction form
    307,972/461,958 = 74,500/x
  3. Step 3: Cross multiply
    307,972x = 461,958 × 74,500
  4. Step 4: Simplify right side
    307,972x = 34,415,871,000
  5. Step 5: Solve for x
    x = 34,415,871,000/307,972
  6. Step 6: Final answer
    x = 111,750

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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.