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Finding the Fourth Proportional to 292,485.82, 438,726.70 and 82,123.96

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Solution

The fourth proportional to 292,485.82, 438,726.70 and 82,123.96 is: 123,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,485.82 : 438,726.70 = 82,123.96 : x
  2. Step 2: Convert to fraction form
    292,485.82/438,726.70 = 82,123.96/x
  3. Step 3: Cross multiply
    292,485.82x = 438,726.70 × 82,123.96
  4. Step 4: Simplify right side
    292,485.82x = 36,029,973,961.73
  5. Step 5: Solve for x
    x = 36,029,973,961.73/292,485.82
  6. Step 6: Final answer
    x = 123,185.37

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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.