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Finding the Fourth Proportional to 427,261.56, 640,894.50 and 111,719.16

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Solution

The fourth proportional to 427,261.56, 640,894.50 and 111,719.16 is: 167,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,261.56 : 640,894.50 = 111,719.16 : x
  2. Step 2: Convert to fraction form
    427,261.56/640,894.50 = 111,719.16/x
  3. Step 3: Cross multiply
    427,261.56x = 640,894.50 × 111,719.16
  4. Step 4: Simplify right side
    427,261.56x = 71,600,195,188.62
  5. Step 5: Solve for x
    x = 71,600,195,188.62/427,261.56
  6. Step 6: Final answer
    x = 167,579.30

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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.