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Finding the Fourth Proportional to 680,628, 1,021,573.26 and 343,905.14

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Solution

The fourth proportional to 680,628, 1,021,573.26 and 343,905.14 is: 516,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,628 : 1,021,573.26 = 343,905.14 : x
  2. Step 2: Convert to fraction form
    680,628/1,021,573.26 = 343,905.14/x
  3. Step 3: Cross multiply
    680,628x = 1,021,573.26 × 343,905.14
  4. Step 4: Simplify right side
    680,628x = 351,324,289,892.69
  5. Step 5: Solve for x
    x = 351,324,289,892.69/680,628
  6. Step 6: Final answer
    x = 516,176.66

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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.