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Finding the Fourth Proportional to 458,493.71, 686,845.86 and 300,242.39

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Solution

The fourth proportional to 458,493.71, 686,845.86 and 300,242.39 is: 449,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,493.71 : 686,845.86 = 300,242.39 : x
  2. Step 2: Convert to fraction form
    458,493.71/686,845.86 = 300,242.39/x
  3. Step 3: Cross multiply
    458,493.71x = 686,845.86 × 300,242.39
  4. Step 4: Simplify right side
    458,493.71x = 206,220,239,133.78
  5. Step 5: Solve for x
    x = 206,220,239,133.78/458,493.71
  6. Step 6: Final answer
    x = 449,777.69

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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.