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Finding the Fourth Proportional to 292,415.49, 438,638.70 and 82,069.83

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Solution

The fourth proportional to 292,415.49, 438,638.70 and 82,069.83 is: 123,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415.49 : 438,638.70 = 82,069.83 : x
  2. Step 2: Convert to fraction form
    292,415.49/438,638.70 = 82,069.83/x
  3. Step 3: Cross multiply
    292,415.49x = 438,638.70 × 82,069.83
  4. Step 4: Simplify right side
    292,415.49x = 35,999,003,540.42
  5. Step 5: Solve for x
    x = 35,999,003,540.42/292,415.49
  6. Step 6: Final answer
    x = 123,109.09

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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.