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Finding the Fourth Proportional to 307,673.43, 461,564.31 and 105,221.94

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Solution

The fourth proportional to 307,673.43, 461,564.31 and 105,221.94 is: 157,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,673.43 : 461,564.31 = 105,221.94 : x
  2. Step 2: Convert to fraction form
    307,673.43/461,564.31 = 105,221.94/x
  3. Step 3: Cross multiply
    307,673.43x = 461,564.31 × 105,221.94
  4. Step 4: Simplify right side
    307,673.43x = 48,566,692,132.96
  5. Step 5: Solve for x
    x = 48,566,692,132.96/307,673.43
  6. Step 6: Final answer
    x = 157,851.43

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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.