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Finding the Fourth Proportional to 458,494.71, 686,847.36 and 300,243.39

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Solution

The fourth proportional to 458,494.71, 686,847.36 and 300,243.39 is: 449,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,494.71 : 686,847.36 = 300,243.39 : x
  2. Step 2: Convert to fraction form
    458,494.71/686,847.36 = 300,243.39/x
  3. Step 3: Cross multiply
    458,494.71x = 686,847.36 × 300,243.39
  4. Step 4: Simplify right side
    458,494.71x = 206,221,379,778.95
  5. Step 5: Solve for x
    x = 206,221,379,778.95/458,494.71
  6. Step 6: Final answer
    x = 449,779.19

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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.