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Finding the Fourth Proportional to 431,378.40, 646,581.60 and 206,846.40

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Solution

The fourth proportional to 431,378.40, 646,581.60 and 206,846.40 is: 310,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,378.40 : 646,581.60 = 206,846.40 : x
  2. Step 2: Convert to fraction form
    431,378.40/646,581.60 = 206,846.40/x
  3. Step 3: Cross multiply
    431,378.40x = 646,581.60 × 206,846.40
  4. Step 4: Simplify right side
    431,378.40x = 133,743,076,266.24
  5. Step 5: Solve for x
    x = 133,743,076,266.24/431,378.40
  6. Step 6: Final answer
    x = 310,036.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.