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Finding the Fourth Proportional to 362,342.48, 500,078.75 and 219,103.54

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Solution

The fourth proportional to 362,342.48, 500,078.75 and 219,103.54 is: 302,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,342.48 : 500,078.75 = 219,103.54 : x
  2. Step 2: Convert to fraction form
    362,342.48/500,078.75 = 219,103.54/x
  3. Step 3: Cross multiply
    362,342.48x = 500,078.75 × 219,103.54
  4. Step 4: Simplify right side
    362,342.48x = 109,569,024,403.78
  5. Step 5: Solve for x
    x = 109,569,024,403.78/362,342.48
  6. Step 6: Final answer
    x = 302,390.78

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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.