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Finding the Fourth Proportional to 348,786, 523,256.76 and 127,170

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Solution

The fourth proportional to 348,786, 523,256.76 and 127,170 is: 190,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,786 : 523,256.76 = 127,170 : x
  2. Step 2: Convert to fraction form
    348,786/523,256.76 = 127,170/x
  3. Step 3: Cross multiply
    348,786x = 523,256.76 × 127,170
  4. Step 4: Simplify right side
    348,786x = 66,542,562,169.20
  5. Step 5: Solve for x
    x = 66,542,562,169.20/348,786
  6. Step 6: Final answer
    x = 190,783.35

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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.