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Finding the Fourth Proportional to 389,996, 537,674.02 and 309,689.36

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Solution

The fourth proportional to 389,996, 537,674.02 and 309,689.36 is: 426,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,996 : 537,674.02 = 309,689.36 : x
  2. Step 2: Convert to fraction form
    389,996/537,674.02 = 309,689.36/x
  3. Step 3: Cross multiply
    389,996x = 537,674.02 × 309,689.36
  4. Step 4: Simplify right side
    389,996x = 166,511,923,142.43
  5. Step 5: Solve for x
    x = 166,511,923,142.43/389,996
  6. Step 6: Final answer
    x = 426,958.03

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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.