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Finding the Fourth Proportional to 471,648.71, 650,874.23 and 256,786.89

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Solution

The fourth proportional to 471,648.71, 650,874.23 and 256,786.89 is: 354,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,648.71 : 650,874.23 = 256,786.89 : x
  2. Step 2: Convert to fraction form
    471,648.71/650,874.23 = 256,786.89/x
  3. Step 3: Cross multiply
    471,648.71x = 650,874.23 × 256,786.89
  4. Step 4: Simplify right side
    471,648.71x = 167,135,969,302.85
  5. Step 5: Solve for x
    x = 167,135,969,302.85/471,648.71
  6. Step 6: Final answer
    x = 354,365.37

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1.5x scale

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.