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Finding the Fourth Proportional to 471,648.21, 650,873.54 and 256,786.39

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Solution

The fourth proportional to 471,648.21, 650,873.54 and 256,786.39 is: 354,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,648.21 : 650,873.54 = 256,786.39 : x
  2. Step 2: Convert to fraction form
    471,648.21/650,873.54 = 256,786.39/x
  3. Step 3: Cross multiply
    471,648.21x = 650,873.54 × 256,786.39
  4. Step 4: Simplify right side
    471,648.21x = 167,135,466,683.12
  5. Step 5: Solve for x
    x = 167,135,466,683.12/471,648.21
  6. Step 6: Final answer
    x = 354,364.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.