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Finding the Fourth Proportional to 345,114.47, 516,982.50 and 274,157.26

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Solution

The fourth proportional to 345,114.47, 516,982.50 and 274,157.26 is: 410,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,114.47 : 516,982.50 = 274,157.26 : x
  2. Step 2: Convert to fraction form
    345,114.47/516,982.50 = 274,157.26/x
  3. Step 3: Cross multiply
    345,114.47x = 516,982.50 × 274,157.26
  4. Step 4: Simplify right side
    345,114.47x = 141,734,504,375.49
  5. Step 5: Solve for x
    x = 141,734,504,375.49/345,114.47
  6. Step 6: Final answer
    x = 410,688.38

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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.