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Finding the Fourth Proportional to 458,446.20, 686,357.10 and 405,958.20

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Solution

The fourth proportional to 458,446.20, 686,357.10 and 405,958.20 is: 607,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,446.20 : 686,357.10 = 405,958.20 : x
  2. Step 2: Convert to fraction form
    458,446.20/686,357.10 = 405,958.20/x
  3. Step 3: Cross multiply
    458,446.20x = 686,357.10 × 405,958.20
  4. Step 4: Simplify right side
    458,446.20x = 278,632,292,873.22
  5. Step 5: Solve for x
    x = 278,632,292,873.22/458,446.20
  6. Step 6: Final answer
    x = 607,775.34

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1.5x scale

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.