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Finding the Fourth Proportional to 276,322.50, 381,325.05 and 157,090.50

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Solution

The fourth proportional to 276,322.50, 381,325.05 and 157,090.50 is: 216,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,322.50 : 381,325.05 = 157,090.50 : x
  2. Step 2: Convert to fraction form
    276,322.50/381,325.05 = 157,090.50/x
  3. Step 3: Cross multiply
    276,322.50x = 381,325.05 × 157,090.50
  4. Step 4: Simplify right side
    276,322.50x = 59,902,542,767.03
  5. Step 5: Solve for x
    x = 59,902,542,767.03/276,322.50
  6. Step 6: Final answer
    x = 216,784.89

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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.