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Finding the Fourth Proportional to 561,716.98, 775,082.72 and 319,968.83

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Solution

The fourth proportional to 561,716.98, 775,082.72 and 319,968.83 is: 441,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,716.98 : 775,082.72 = 319,968.83 : x
  2. Step 2: Convert to fraction form
    561,716.98/775,082.72 = 319,968.83/x
  3. Step 3: Cross multiply
    561,716.98x = 775,082.72 × 319,968.83
  4. Step 4: Simplify right side
    561,716.98x = 248,002,313,809.25
  5. Step 5: Solve for x
    x = 248,002,313,809.25/561,716.98
  6. Step 6: Final answer
    x = 441,507.60

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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.