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Finding the Fourth Proportional to 557,336.75, 769,172.15 and 315,662.31

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Solution

The fourth proportional to 557,336.75, 769,172.15 and 315,662.31 is: 435,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,336.75 : 769,172.15 = 315,662.31 : x
  2. Step 2: Convert to fraction form
    557,336.75/769,172.15 = 315,662.31/x
  3. Step 3: Cross multiply
    557,336.75x = 769,172.15 × 315,662.31
  4. Step 4: Simplify right side
    557,336.75x = 242,798,659,554.62
  5. Step 5: Solve for x
    x = 242,798,659,554.62/557,336.75
  6. Step 6: Final answer
    x = 435,640.86

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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.