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Finding the Fourth Proportional to 420,541.86, 580,327.50 and 239,236.73

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Solution

The fourth proportional to 420,541.86, 580,327.50 and 239,236.73 is: 330,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,541.86 : 580,327.50 = 239,236.73 : x
  2. Step 2: Convert to fraction form
    420,541.86/580,327.50 = 239,236.73/x
  3. Step 3: Cross multiply
    420,541.86x = 580,327.50 × 239,236.73
  4. Step 4: Simplify right side
    420,541.86x = 138,835,653,429.08
  5. Step 5: Solve for x
    x = 138,835,653,429.08/420,541.86
  6. Step 6: Final answer
    x = 330,135.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.