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Finding the Fourth Proportional to 345,744.16, 477,215.84 and 225,185.92

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Solution

The fourth proportional to 345,744.16, 477,215.84 and 225,185.92 is: 310,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,744.16 : 477,215.84 = 225,185.92 : x
  2. Step 2: Convert to fraction form
    345,744.16/477,215.84 = 225,185.92/x
  3. Step 3: Cross multiply
    345,744.16x = 477,215.84 × 225,185.92
  4. Step 4: Simplify right side
    345,744.16x = 107,462,287,968.97
  5. Step 5: Solve for x
    x = 107,462,287,968.97/345,744.16
  6. Step 6: Final answer
    x = 310,814.47

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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.