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Finding the Fourth Proportional to 613,244.26, 920,019.48 and 213,890.77

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Solution

The fourth proportional to 613,244.26, 920,019.48 and 213,890.77 is: 320,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,244.26 : 920,019.48 = 213,890.77 : x
  2. Step 2: Convert to fraction form
    613,244.26/920,019.48 = 213,890.77/x
  3. Step 3: Cross multiply
    613,244.26x = 920,019.48 × 213,890.77
  4. Step 4: Simplify right side
    613,244.26x = 196,783,674,992.20
  5. Step 5: Solve for x
    x = 196,783,674,992.20/613,244.26
  6. Step 6: Final answer
    x = 320,889.55

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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.