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Finding the Fourth Proportional to 600,771.45, 900,162 and 422,407.02

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Solution

The fourth proportional to 600,771.45, 900,162 and 422,407.02 is: 632,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,771.45 : 900,162 = 422,407.02 : x
  2. Step 2: Convert to fraction form
    600,771.45/900,162 = 422,407.02/x
  3. Step 3: Cross multiply
    600,771.45x = 900,162 × 422,407.02
  4. Step 4: Simplify right side
    600,771.45x = 380,234,747,937.24
  5. Step 5: Solve for x
    x = 380,234,747,937.24/600,771.45
  6. Step 6: Final answer
    x = 632,910.81

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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.