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Finding the Fourth Proportional to 431,348.40, 646,536.60 and 206,816.40

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Solution

The fourth proportional to 431,348.40, 646,536.60 and 206,816.40 is: 309,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,348.40 : 646,536.60 = 206,816.40 : x
  2. Step 2: Convert to fraction form
    431,348.40/646,536.60 = 206,816.40/x
  3. Step 3: Cross multiply
    431,348.40x = 646,536.60 × 206,816.40
  4. Step 4: Simplify right side
    431,348.40x = 133,714,372,080.24
  5. Step 5: Solve for x
    x = 133,714,372,080.24/431,348.40
  6. Step 6: Final answer
    x = 309,991.58

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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.