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Finding the Fourth Proportional to 680,398.26, 1,021,227.87 and 343,674.93

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Solution

The fourth proportional to 680,398.26, 1,021,227.87 and 343,674.93 is: 515,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,398.26 : 1,021,227.87 = 343,674.93 : x
  2. Step 2: Convert to fraction form
    680,398.26/1,021,227.87 = 343,674.93/x
  3. Step 3: Cross multiply
    680,398.26x = 1,021,227.87 × 343,674.93
  4. Step 4: Simplify right side
    680,398.26x = 350,970,415,017.92
  5. Step 5: Solve for x
    x = 350,970,415,017.92/680,398.26
  6. Step 6: Final answer
    x = 515,830.85

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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.