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Finding the Fourth Proportional to 471,004.97, 649,980.74 and 256,140.43

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Solution

The fourth proportional to 471,004.97, 649,980.74 and 256,140.43 is: 353,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,004.97 : 649,980.74 = 256,140.43 : x
  2. Step 2: Convert to fraction form
    471,004.97/649,980.74 = 256,140.43/x
  3. Step 3: Cross multiply
    471,004.97x = 649,980.74 × 256,140.43
  4. Step 4: Simplify right side
    471,004.97x = 166,486,345,250.72
  5. Step 5: Solve for x
    x = 166,486,345,250.72/471,004.97
  6. Step 6: Final answer
    x = 353,470.46

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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.