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Finding the Fourth Proportional to 777,003.82, 1,072,314.64 and 471,109.48

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Solution

The fourth proportional to 777,003.82, 1,072,314.64 and 471,109.48 is: 650,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,003.82 : 1,072,314.64 = 471,109.48 : x
  2. Step 2: Convert to fraction form
    777,003.82/1,072,314.64 = 471,109.48/x
  3. Step 3: Cross multiply
    777,003.82x = 1,072,314.64 × 471,109.48
  4. Step 4: Simplify right side
    777,003.82x = 505,177,592,446.79
  5. Step 5: Solve for x
    x = 505,177,592,446.79/777,003.82
  6. Step 6: Final answer
    x = 650,161.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.