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Finding the Fourth Proportional to 307,978.44, 461,967.66 and 115,888.98

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Solution

The fourth proportional to 307,978.44, 461,967.66 and 115,888.98 is: 173,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,978.44 : 461,967.66 = 115,888.98 : x
  2. Step 2: Convert to fraction form
    307,978.44/461,967.66 = 115,888.98/x
  3. Step 3: Cross multiply
    307,978.44x = 461,967.66 × 115,888.98
  4. Step 4: Simplify right side
    307,978.44x = 53,536,960,910.39
  5. Step 5: Solve for x
    x = 53,536,960,910.39/307,978.44
  6. Step 6: Final answer
    x = 173,833.47

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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.