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Finding the Fourth Proportional to 306,742.75, 460,114.17 and 140,530.75

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Solution

The fourth proportional to 306,742.75, 460,114.17 and 140,530.75 is: 210,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,742.75 : 460,114.17 = 140,530.75 : x
  2. Step 2: Convert to fraction form
    306,742.75/460,114.17 = 140,530.75/x
  3. Step 3: Cross multiply
    306,742.75x = 460,114.17 × 140,530.75
  4. Step 4: Simplify right side
    306,742.75x = 64,660,189,395.73
  5. Step 5: Solve for x
    x = 64,660,189,395.73/306,742.75
  6. Step 6: Final answer
    x = 210,796.15

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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.