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Finding the Fourth Proportional to 262,989.17, 394,095.49 and 120,482.90

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Solution

The fourth proportional to 262,989.17, 394,095.49 and 120,482.90 is: 180,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,989.17 : 394,095.49 = 120,482.90 : x
  2. Step 2: Convert to fraction form
    262,989.17/394,095.49 = 120,482.90/x
  3. Step 3: Cross multiply
    262,989.17x = 394,095.49 × 120,482.90
  4. Step 4: Simplify right side
    262,989.17x = 47,481,767,512.12
  5. Step 5: Solve for x
    x = 47,481,767,512.12/262,989.17
  6. Step 6: Final answer
    x = 180,546.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.