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Finding the Fourth Proportional to 292,542.30, 438,813.45 and 82,182.06

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Solution

The fourth proportional to 292,542.30, 438,813.45 and 82,182.06 is: 123,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,542.30 : 438,813.45 = 82,182.06 : x
  2. Step 2: Convert to fraction form
    292,542.30/438,813.45 = 82,182.06/x
  3. Step 3: Cross multiply
    292,542.30x = 438,813.45 × 82,182.06
  4. Step 4: Simplify right side
    292,542.30x = 36,062,593,276.71
  5. Step 5: Solve for x
    x = 36,062,593,276.71/292,542.30
  6. Step 6: Final answer
    x = 123,273.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.