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Finding the Fourth Proportional to 307,808.55, 461,710.80 and 83,191.41

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Solution

The fourth proportional to 307,808.55, 461,710.80 and 83,191.41 is: 124,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,808.55 : 461,710.80 = 83,191.41 : x
  2. Step 2: Convert to fraction form
    307,808.55/461,710.80 = 83,191.41/x
  3. Step 3: Cross multiply
    307,808.55x = 461,710.80 × 83,191.41
  4. Step 4: Simplify right side
    307,808.55x = 38,410,372,464.23
  5. Step 5: Solve for x
    x = 38,410,372,464.23/307,808.55
  6. Step 6: Final answer
    x = 124,786.57

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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.