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Finding the Fourth Proportional to 531,714.43, 733,634.64 and 313,928.18

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Solution

The fourth proportional to 531,714.43, 733,634.64 and 313,928.18 is: 433,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,714.43 : 733,634.64 = 313,928.18 : x
  2. Step 2: Convert to fraction form
    531,714.43/733,634.64 = 313,928.18/x
  3. Step 3: Cross multiply
    531,714.43x = 733,634.64 × 313,928.18
  4. Step 4: Simplify right side
    531,714.43x = 230,308,589,349.38
  5. Step 5: Solve for x
    x = 230,308,589,349.38/531,714.43
  6. Step 6: Final answer
    x = 433,143.39

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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.