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Finding the Fourth Proportional to 411,004.80, 616,086 and 261,355.68

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Solution

The fourth proportional to 411,004.80, 616,086 and 261,355.68 is: 391,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,004.80 : 616,086 = 261,355.68 : x
  2. Step 2: Convert to fraction form
    411,004.80/616,086 = 261,355.68/x
  3. Step 3: Cross multiply
    411,004.80x = 616,086 × 261,355.68
  4. Step 4: Simplify right side
    411,004.80x = 161,017,575,468.48
  5. Step 5: Solve for x
    x = 161,017,575,468.48/411,004.80
  6. Step 6: Final answer
    x = 391,765.68

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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.