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Finding the Fourth Proportional to 458,458.20, 686,375.10 and 405,970.20

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Solution

The fourth proportional to 458,458.20, 686,375.10 and 405,970.20 is: 607,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,458.20 : 686,375.10 = 405,970.20 : x
  2. Step 2: Convert to fraction form
    458,458.20/686,375.10 = 405,970.20/x
  3. Step 3: Cross multiply
    458,458.20x = 686,375.10 × 405,970.20
  4. Step 4: Simplify right side
    458,458.20x = 278,647,836,622.02
  5. Step 5: Solve for x
    x = 278,647,836,622.02/458,458.20
  6. Step 6: Final answer
    x = 607,793.33

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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.