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Finding the Fourth Proportional to 348,829, 523,321.50 and 127,213

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Solution

The fourth proportional to 348,829, 523,321.50 and 127,213 is: 190,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,829 : 523,321.50 = 127,213 : x
  2. Step 2: Convert to fraction form
    348,829/523,321.50 = 127,213/x
  3. Step 3: Cross multiply
    348,829x = 523,321.50 × 127,213
  4. Step 4: Simplify right side
    348,829x = 66,573,297,979.50
  5. Step 5: Solve for x
    x = 66,573,297,979.50/348,829
  6. Step 6: Final answer
    x = 190,847.95

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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.