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Finding the Fourth Proportional to 476,086.80, 656,977.80 and 261,221.52

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Solution

The fourth proportional to 476,086.80, 656,977.80 and 261,221.52 is: 360,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,086.80 : 656,977.80 = 261,221.52 : x
  2. Step 2: Convert to fraction form
    476,086.80/656,977.80 = 261,221.52/x
  3. Step 3: Cross multiply
    476,086.80x = 656,977.80 × 261,221.52
  4. Step 4: Simplify right side
    476,086.80x = 171,616,739,522.26
  5. Step 5: Solve for x
    x = 171,616,739,522.26/476,086.80
  6. Step 6: Final answer
    x = 360,473.64

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Why These Related Problems?

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