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Finding the Fourth Proportional to 349,299.10, 482,085 and 213,411.61

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Solution

The fourth proportional to 349,299.10, 482,085 and 213,411.61 is: 294,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,299.10 : 482,085 = 213,411.61 : x
  2. Step 2: Convert to fraction form
    349,299.10/482,085 = 213,411.61/x
  3. Step 3: Cross multiply
    349,299.10x = 482,085 × 213,411.61
  4. Step 4: Simplify right side
    349,299.10x = 102,882,536,006.85
  5. Step 5: Solve for x
    x = 102,882,536,006.85/349,299.10
  6. Step 6: Final answer
    x = 294,539.94

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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.