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Finding the Fourth Proportional to 307,538.24, 461,168.84 and 129,953.84

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Solution

The fourth proportional to 307,538.24, 461,168.84 and 129,953.84 is: 194,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,538.24 : 461,168.84 = 129,953.84 : x
  2. Step 2: Convert to fraction form
    307,538.24/461,168.84 = 129,953.84/x
  3. Step 3: Cross multiply
    307,538.24x = 461,168.84 × 129,953.84
  4. Step 4: Simplify right side
    307,538.24x = 59,930,661,646.35
  5. Step 5: Solve for x
    x = 59,930,661,646.35/307,538.24
  6. Step 6: Final answer
    x = 194,872.23

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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.