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Finding the Fourth Proportional to 682,657.87, 942,422.02 and 498,689.87

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Solution

The fourth proportional to 682,657.87, 942,422.02 and 498,689.87 is: 688,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,657.87 : 942,422.02 = 498,689.87 : x
  2. Step 2: Convert to fraction form
    682,657.87/942,422.02 = 498,689.87/x
  3. Step 3: Cross multiply
    682,657.87x = 942,422.02 × 498,689.87
  4. Step 4: Simplify right side
    682,657.87x = 469,976,309,789.43
  5. Step 5: Solve for x
    x = 469,976,309,789.43/682,657.87
  6. Step 6: Final answer
    x = 688,450.73

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Double scale
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1.5x scale

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.