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Finding the Fourth Proportional to 348,342, 480,717.54 and 195,414.30

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Solution

The fourth proportional to 348,342, 480,717.54 and 195,414.30 is: 269,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,342 : 480,717.54 = 195,414.30 : x
  2. Step 2: Convert to fraction form
    348,342/480,717.54 = 195,414.30/x
  3. Step 3: Cross multiply
    348,342x = 480,717.54 × 195,414.30
  4. Step 4: Simplify right side
    348,342x = 93,939,081,576.82
  5. Step 5: Solve for x
    x = 93,939,081,576.82/348,342
  6. Step 6: Final answer
    x = 269,674.86

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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.