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Finding the Fourth Proportional to 471,213.78, 650,226.48 and 280,190.28

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Solution

The fourth proportional to 471,213.78, 650,226.48 and 280,190.28 is: 386,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,213.78 : 650,226.48 = 280,190.28 : x
  2. Step 2: Convert to fraction form
    471,213.78/650,226.48 = 280,190.28/x
  3. Step 3: Cross multiply
    471,213.78x = 650,226.48 × 280,190.28
  4. Step 4: Simplify right side
    471,213.78x = 182,187,139,494.61
  5. Step 5: Solve for x
    x = 182,187,139,494.61/471,213.78
  6. Step 6: Final answer
    x = 386,633.73

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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.