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Finding the Fourth Proportional to 471,751.12, 650,589.87 and 310,546.54

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Solution

The fourth proportional to 471,751.12, 650,589.87 and 310,546.54 is: 428,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,751.12 : 650,589.87 = 310,546.54 : x
  2. Step 2: Convert to fraction form
    471,751.12/650,589.87 = 310,546.54/x
  3. Step 3: Cross multiply
    471,751.12x = 650,589.87 × 310,546.54
  4. Step 4: Simplify right side
    471,751.12x = 202,038,433,087.55
  5. Step 5: Solve for x
    x = 202,038,433,087.55/471,751.12
  6. Step 6: Final answer
    x = 428,273.35

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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.