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Finding the Fourth Proportional to 738,908.29, 1,019,751.21 and 412,324

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Solution

The fourth proportional to 738,908.29, 1,019,751.21 and 412,324 is: 569,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,908.29 : 1,019,751.21 = 412,324 : x
  2. Step 2: Convert to fraction form
    738,908.29/1,019,751.21 = 412,324/x
  3. Step 3: Cross multiply
    738,908.29x = 1,019,751.21 × 412,324
  4. Step 4: Simplify right side
    738,908.29x = 420,467,897,912.04
  5. Step 5: Solve for x
    x = 420,467,897,912.04/738,908.29
  6. Step 6: Final answer
    x = 569,039.36

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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.