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Finding the Fourth Proportional to 307,255.50, 460,883.52 and 85,639.50

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Solution

The fourth proportional to 307,255.50, 460,883.52 and 85,639.50 is: 128,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,255.50 : 460,883.52 = 85,639.50 : x
  2. Step 2: Convert to fraction form
    307,255.50/460,883.52 = 85,639.50/x
  3. Step 3: Cross multiply
    307,255.50x = 460,883.52 × 85,639.50
  4. Step 4: Simplify right side
    307,255.50x = 39,469,834,211.04
  5. Step 5: Solve for x
    x = 39,469,834,211.04/307,255.50
  6. Step 6: Final answer
    x = 128,459.33

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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.