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Finding the Fourth Proportional to 734,649, 1,013,760 and 412,296.86

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Solution

The fourth proportional to 734,649, 1,013,760 and 412,296.86 is: 568,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,649 : 1,013,760 = 412,296.86 : x
  2. Step 2: Convert to fraction form
    734,649/1,013,760 = 412,296.86/x
  3. Step 3: Cross multiply
    734,649x = 1,013,760 × 412,296.86
  4. Step 4: Simplify right side
    734,649x = 417,970,059,724.80
  5. Step 5: Solve for x
    x = 417,970,059,724.80/734,649
  6. Step 6: Final answer
    x = 568,938.45

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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.