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Finding the Fourth Proportional to 512,470.36, 768,705.56 and 259,711.48

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Solution

The fourth proportional to 512,470.36, 768,705.56 and 259,711.48 is: 389,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,470.36 : 768,705.56 = 259,711.48 : x
  2. Step 2: Convert to fraction form
    512,470.36/768,705.56 = 259,711.48/x
  3. Step 3: Cross multiply
    512,470.36x = 768,705.56 × 259,711.48
  4. Step 4: Simplify right side
    512,470.36x = 199,641,658,671.83
  5. Step 5: Solve for x
    x = 199,641,658,671.83/512,470.36
  6. Step 6: Final answer
    x = 389,567.23

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1.5x scale

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.