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Finding the Fourth Proportional to 348,357, 480,736.50 and 189,381

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Solution

The fourth proportional to 348,357, 480,736.50 and 189,381 is: 261,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,357 : 480,736.50 = 189,381 : x
  2. Step 2: Convert to fraction form
    348,357/480,736.50 = 189,381/x
  3. Step 3: Cross multiply
    348,357x = 480,736.50 × 189,381
  4. Step 4: Simplify right side
    348,357x = 91,042,359,106.50
  5. Step 5: Solve for x
    x = 91,042,359,106.50/348,357
  6. Step 6: Final answer
    x = 261,347.87

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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.