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Finding the Fourth Proportional to 512,815.37, 707,571.54 and 295,010.66

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Solution

The fourth proportional to 512,815.37, 707,571.54 and 295,010.66 is: 407,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,815.37 : 707,571.54 = 295,010.66 : x
  2. Step 2: Convert to fraction form
    512,815.37/707,571.54 = 295,010.66/x
  3. Step 3: Cross multiply
    512,815.37x = 707,571.54 × 295,010.66
  4. Step 4: Simplify right side
    512,815.37x = 208,741,148,781.55
  5. Step 5: Solve for x
    x = 208,741,148,781.55/512,815.37
  6. Step 6: Final answer
    x = 407,049.33

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1.5x scale

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.