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Finding the Fourth Proportional to 276,323.50, 381,326.43 and 157,091.50

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Solution

The fourth proportional to 276,323.50, 381,326.43 and 157,091.50 is: 216,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,323.50 : 381,326.43 = 157,091.50 : x
  2. Step 2: Convert to fraction form
    276,323.50/381,326.43 = 157,091.50/x
  3. Step 3: Cross multiply
    276,323.50x = 381,326.43 × 157,091.50
  4. Step 4: Simplify right side
    276,323.50x = 59,903,140,878.35
  5. Step 5: Solve for x
    x = 59,903,140,878.35/276,323.50
  6. Step 6: Final answer
    x = 216,786.27

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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.