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Finding the Fourth Proportional to 307,669.68, 461,558.69 and 105,218.19

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Solution

The fourth proportional to 307,669.68, 461,558.69 and 105,218.19 is: 157,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,669.68 : 461,558.69 = 105,218.19 : x
  2. Step 2: Convert to fraction form
    307,669.68/461,558.69 = 105,218.19/x
  3. Step 3: Cross multiply
    307,669.68x = 461,558.69 × 105,218.19
  4. Step 4: Simplify right side
    307,669.68x = 48,564,369,414.48
  5. Step 5: Solve for x
    x = 48,564,369,414.48/307,669.68
  6. Step 6: Final answer
    x = 157,845.81

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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.