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Finding the Fourth Proportional to 493,148.28, 680,293.89 and 299,504.48

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Solution

The fourth proportional to 493,148.28, 680,293.89 and 299,504.48 is: 413,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,148.28 : 680,293.89 = 299,504.48 : x
  2. Step 2: Convert to fraction form
    493,148.28/680,293.89 = 299,504.48/x
  3. Step 3: Cross multiply
    493,148.28x = 680,293.89 × 299,504.48
  4. Step 4: Simplify right side
    493,148.28x = 203,751,064,370.16
  5. Step 5: Solve for x
    x = 203,751,064,370.16/493,148.28
  6. Step 6: Final answer
    x = 413,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.