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Finding the Fourth Proportional to 682,680, 942,096.45 and 376,754.16

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Solution

The fourth proportional to 682,680, 942,096.45 and 376,754.16 is: 519,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,680 : 942,096.45 = 376,754.16 : x
  2. Step 2: Convert to fraction form
    682,680/942,096.45 = 376,754.16/x
  3. Step 3: Cross multiply
    682,680x = 942,096.45 × 376,754.16
  4. Step 4: Simplify right side
    682,680x = 354,938,756,658.73
  5. Step 5: Solve for x
    x = 354,938,756,658.73/682,680
  6. Step 6: Final answer
    x = 519,919.66

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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.