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Finding the Fourth Proportional to 427,257.60, 640,922.99 and 111,714

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Solution

The fourth proportional to 427,257.60, 640,922.99 and 111,714 is: 167,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,257.60 : 640,922.99 = 111,714 : x
  2. Step 2: Convert to fraction form
    427,257.60/640,922.99 = 111,714/x
  3. Step 3: Cross multiply
    427,257.60x = 640,922.99 × 111,714
  4. Step 4: Simplify right side
    427,257.60x = 71,600,070,346.29
  5. Step 5: Solve for x
    x = 71,600,070,346.29/427,257.60
  6. Step 6: Final answer
    x = 167,580.57

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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.