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Finding the Fourth Proportional to 649,992.60, 972,945.42 and 446,396.57

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Solution

The fourth proportional to 649,992.60, 972,945.42 and 446,396.57 is: 668,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,992.60 : 972,945.42 = 446,396.57 : x
  2. Step 2: Convert to fraction form
    649,992.60/972,945.42 = 446,396.57/x
  3. Step 3: Cross multiply
    649,992.60x = 972,945.42 × 446,396.57
  4. Step 4: Simplify right side
    649,992.60x = 434,319,497,906.02
  5. Step 5: Solve for x
    x = 434,319,497,906.02/649,992.60
  6. Step 6: Final answer
    x = 668,191.45

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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.