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Finding the Fourth Proportional to 292,520.28, 438,796.83 and 82,141.81

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Solution

The fourth proportional to 292,520.28, 438,796.83 and 82,141.81 is: 123,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,520.28 : 438,796.83 = 82,141.81 : x
  2. Step 2: Convert to fraction form
    292,520.28/438,796.83 = 82,141.81/x
  3. Step 3: Cross multiply
    292,520.28x = 438,796.83 × 82,141.81
  4. Step 4: Simplify right side
    292,520.28x = 36,043,566,935.45
  5. Step 5: Solve for x
    x = 36,043,566,935.45/292,520.28
  6. Step 6: Final answer
    x = 123,217.33

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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.