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Finding the Fourth Proportional to 268,912.12, 371,056.80 and 155,713

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Solution

The fourth proportional to 268,912.12, 371,056.80 and 155,713 is: 214,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,912.12 : 371,056.80 = 155,713 : x
  2. Step 2: Convert to fraction form
    268,912.12/371,056.80 = 155,713/x
  3. Step 3: Cross multiply
    268,912.12x = 371,056.80 × 155,713
  4. Step 4: Simplify right side
    268,912.12x = 57,778,367,498.40
  5. Step 5: Solve for x
    x = 57,778,367,498.40/268,912.12
  6. Step 6: Final answer
    x = 214,859.66

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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.