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Finding the Fourth Proportional to 262,828.68, 394,100.98 and 82,880.16

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Solution

The fourth proportional to 262,828.68, 394,100.98 and 82,880.16 is: 124,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,828.68 : 394,100.98 = 82,880.16 : x
  2. Step 2: Convert to fraction form
    262,828.68/394,100.98 = 82,880.16/x
  3. Step 3: Cross multiply
    262,828.68x = 394,100.98 × 82,880.16
  4. Step 4: Simplify right side
    262,828.68x = 32,663,152,278.56
  5. Step 5: Solve for x
    x = 32,663,152,278.56/262,828.68
  6. Step 6: Final answer
    x = 124,275.45

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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.