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Finding the Fourth Proportional to 682,676.57, 942,447.84 and 498,708.60

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Solution

The fourth proportional to 682,676.57, 942,447.84 and 498,708.60 is: 688,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,676.57 : 942,447.84 = 498,708.60 : x
  2. Step 2: Convert to fraction form
    682,676.57/942,447.84 = 498,708.60/x
  3. Step 3: Cross multiply
    682,676.57x = 942,447.84 × 498,708.60
  4. Step 4: Simplify right side
    682,676.57x = 470,006,845,215.54
  5. Step 5: Solve for x
    x = 470,006,845,215.54/682,676.57
  6. Step 6: Final answer
    x = 688,476.60

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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.