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Finding the Fourth Proportional to 458,496.18, 686,849.60 and 300,244.86

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Solution

The fourth proportional to 458,496.18, 686,849.60 and 300,244.86 is: 449,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,496.18 : 686,849.60 = 300,244.86 : x
  2. Step 2: Convert to fraction form
    458,496.18/686,849.60 = 300,244.86/x
  3. Step 3: Cross multiply
    458,496.18x = 686,849.60 × 300,244.86
  4. Step 4: Simplify right side
    458,496.18x = 206,223,061,993.06
  5. Step 5: Solve for x
    x = 206,223,061,993.06/458,496.18
  6. Step 6: Final answer
    x = 449,781.42

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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.