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Finding the Fourth Proportional to 262,953.80, 394,497.02 and 73,414

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Solution

The fourth proportional to 262,953.80, 394,497.02 and 73,414 is: 110,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,953.80 : 394,497.02 = 73,414 : x
  2. Step 2: Convert to fraction form
    262,953.80/394,497.02 = 73,414/x
  3. Step 3: Cross multiply
    262,953.80x = 394,497.02 × 73,414
  4. Step 4: Simplify right side
    262,953.80x = 28,961,604,226.28
  5. Step 5: Solve for x
    x = 28,961,604,226.28/262,953.80
  6. Step 6: Final answer
    x = 110,139.52

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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.