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Finding the Fourth Proportional to 511,212.24, 766,861.56 and 137,255.76

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Solution

The fourth proportional to 511,212.24, 766,861.56 and 137,255.76 is: 205,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,212.24 : 766,861.56 = 137,255.76 : x
  2. Step 2: Convert to fraction form
    511,212.24/766,861.56 = 137,255.76/x
  3. Step 3: Cross multiply
    511,212.24x = 766,861.56 × 137,255.76
  4. Step 4: Simplify right side
    511,212.24x = 105,256,166,232.59
  5. Step 5: Solve for x
    x = 105,256,166,232.59/511,212.24
  6. Step 6: Final answer
    x = 205,895.24

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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.