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Finding the Fourth Proportional to 657,107.80, 985,694.10 and 342,179.80

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Solution

The fourth proportional to 657,107.80, 985,694.10 and 342,179.80 is: 513,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,107.80 : 985,694.10 = 342,179.80 : x
  2. Step 2: Convert to fraction form
    657,107.80/985,694.10 = 342,179.80/x
  3. Step 3: Cross multiply
    657,107.80x = 985,694.10 × 342,179.80
  4. Step 4: Simplify right side
    657,107.80x = 337,284,609,999.18
  5. Step 5: Solve for x
    x = 337,284,609,999.18/657,107.80
  6. Step 6: Final answer
    x = 513,286.57

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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.