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Finding the Fourth Proportional to 458,465.70, 686,803.92 and 300,214.38

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Solution

The fourth proportional to 458,465.70, 686,803.92 and 300,214.38 is: 449,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,465.70 : 686,803.92 = 300,214.38 : x
  2. Step 2: Convert to fraction form
    458,465.70/686,803.92 = 300,214.38/x
  3. Step 3: Cross multiply
    458,465.70x = 686,803.92 × 300,214.38
  4. Step 4: Simplify right side
    458,465.70x = 206,188,410,448.86
  5. Step 5: Solve for x
    x = 206,188,410,448.86/458,465.70
  6. Step 6: Final answer
    x = 449,735.74

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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.