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Finding the Fourth Proportional to 306,999.50, 460,525.17 and 85,383.50

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Solution

The fourth proportional to 306,999.50, 460,525.17 and 85,383.50 is: 128,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,999.50 : 460,525.17 = 85,383.50 : x
  2. Step 2: Convert to fraction form
    306,999.50/460,525.17 = 85,383.50/x
  3. Step 3: Cross multiply
    306,999.50x = 460,525.17 × 85,383.50
  4. Step 4: Simplify right side
    306,999.50x = 39,321,250,852.70
  5. Step 5: Solve for x
    x = 39,321,250,852.70/306,999.50
  6. Step 6: Final answer
    x = 128,082.46

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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.