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Finding the Fourth Proportional to 348,124, 480,414 and 189,148

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Solution

The fourth proportional to 348,124, 480,414 and 189,148 is: 261,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,124 : 480,414 = 189,148 : x
  2. Step 2: Convert to fraction form
    348,124/480,414 = 189,148/x
  3. Step 3: Cross multiply
    348,124x = 480,414 × 189,148
  4. Step 4: Simplify right side
    348,124x = 90,869,347,272
  5. Step 5: Solve for x
    x = 90,869,347,272/348,124
  6. Step 6: Final answer
    x = 261,025.80

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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.