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Finding the Fourth Proportional to 682,976.09, 942,630.39 and 407,351.63

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Solution

The fourth proportional to 682,976.09, 942,630.39 and 407,351.63 is: 562,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,976.09 : 942,630.39 = 407,351.63 : x
  2. Step 2: Convert to fraction form
    682,976.09/942,630.39 = 407,351.63/x
  3. Step 3: Cross multiply
    682,976.09x = 942,630.39 × 407,351.63
  4. Step 4: Simplify right side
    682,976.09x = 383,982,025,854.04
  5. Step 5: Solve for x
    x = 383,982,025,854.04/682,976.09
  6. Step 6: Final answer
    x = 562,218.84

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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.