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Finding the Fourth Proportional to 682,108.87, 941,376.78 and 509,727.49

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Solution

The fourth proportional to 682,108.87, 941,376.78 and 509,727.49 is: 703,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,108.87 : 941,376.78 = 509,727.49 : x
  2. Step 2: Convert to fraction form
    682,108.87/941,376.78 = 509,727.49/x
  3. Step 3: Cross multiply
    682,108.87x = 941,376.78 × 509,727.49
  4. Step 4: Simplify right side
    682,108.87x = 479,845,623,213.68
  5. Step 5: Solve for x
    x = 479,845,623,213.68/682,108.87
  6. Step 6: Final answer
    x = 703,473.66

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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.