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Finding the Fourth Proportional to 613,012.86, 919,942.11 and 213,656.94

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Solution

The fourth proportional to 613,012.86, 919,942.11 and 213,656.94 is: 320,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,012.86 : 919,942.11 = 213,656.94 : x
  2. Step 2: Convert to fraction form
    613,012.86/919,942.11 = 213,656.94/x
  3. Step 3: Cross multiply
    613,012.86x = 919,942.11 × 213,656.94
  4. Step 4: Simplify right side
    613,012.86x = 196,552,016,199.74
  5. Step 5: Solve for x
    x = 196,552,016,199.74/613,012.86
  6. Step 6: Final answer
    x = 320,632.78

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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.