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Finding the Fourth Proportional to 431,589.09, 647,782.89 and 218,506.71

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Solution

The fourth proportional to 431,589.09, 647,782.89 and 218,506.71 is: 327,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,589.09 : 647,782.89 = 218,506.71 : x
  2. Step 2: Convert to fraction form
    431,589.09/647,782.89 = 218,506.71/x
  3. Step 3: Cross multiply
    431,589.09x = 647,782.89 × 218,506.71
  4. Step 4: Simplify right side
    431,589.09x = 141,544,908,088.19
  5. Step 5: Solve for x
    x = 141,544,908,088.19/431,589.09
  6. Step 6: Final answer
    x = 327,962.20

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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.