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Finding the Fourth Proportional to 276,072.66, 380,978.01 and 174,163.95

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Solution

The fourth proportional to 276,072.66, 380,978.01 and 174,163.95 is: 240,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,072.66 : 380,978.01 = 174,163.95 : x
  2. Step 2: Convert to fraction form
    276,072.66/380,978.01 = 174,163.95/x
  3. Step 3: Cross multiply
    276,072.66x = 380,978.01 × 174,163.95
  4. Step 4: Simplify right side
    276,072.66x = 66,352,635,084.74
  5. Step 5: Solve for x
    x = 66,352,635,084.74/276,072.66
  6. Step 6: Final answer
    x = 240,344.82

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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.