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Finding the Fourth Proportional to 509,360.39, 764,039.76 and 135,383.39

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Solution

The fourth proportional to 509,360.39, 764,039.76 and 135,383.39 is: 203,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,360.39 : 764,039.76 = 135,383.39 : x
  2. Step 2: Convert to fraction form
    509,360.39/764,039.76 = 135,383.39/x
  3. Step 3: Cross multiply
    509,360.39x = 764,039.76 × 135,383.39
  4. Step 4: Simplify right side
    509,360.39x = 103,438,292,803.59
  5. Step 5: Solve for x
    x = 103,438,292,803.59/509,360.39
  6. Step 6: Final answer
    x = 203,074.87

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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.