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Finding the Fourth Proportional to 654,078.42, 902,258.91 and 411,944.94

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Solution

The fourth proportional to 654,078.42, 902,258.91 and 411,944.94 is: 568,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,078.42 : 902,258.91 = 411,944.94 : x
  2. Step 2: Convert to fraction form
    654,078.42/902,258.91 = 411,944.94/x
  3. Step 3: Cross multiply
    654,078.42x = 902,258.91 × 411,944.94
  4. Step 4: Simplify right side
    654,078.42x = 371,680,992,544.42
  5. Step 5: Solve for x
    x = 371,680,992,544.42/654,078.42
  6. Step 6: Final answer
    x = 568,251.42

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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.