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Finding the Fourth Proportional to 682,725.65, 942,515.60 and 498,757.77

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Solution

The fourth proportional to 682,725.65, 942,515.60 and 498,757.77 is: 688,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,725.65 : 942,515.60 = 498,757.77 : x
  2. Step 2: Convert to fraction form
    682,725.65/942,515.60 = 498,757.77/x
  3. Step 3: Cross multiply
    682,725.65x = 942,515.60 × 498,757.77
  4. Step 4: Simplify right side
    682,725.65x = 470,086,976,352.42
  5. Step 5: Solve for x
    x = 470,086,976,352.42/682,725.65
  6. Step 6: Final answer
    x = 688,544.48

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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.