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Finding the Fourth Proportional to 219,382.88, 329,074.32 and 53,170.88

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Solution

The fourth proportional to 219,382.88, 329,074.32 and 53,170.88 is: 79,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,382.88 : 329,074.32 = 53,170.88 : x
  2. Step 2: Convert to fraction form
    219,382.88/329,074.32 = 53,170.88/x
  3. Step 3: Cross multiply
    219,382.88x = 329,074.32 × 53,170.88
  4. Step 4: Simplify right side
    219,382.88x = 17,497,169,268.58
  5. Step 5: Solve for x
    x = 17,497,169,268.58/219,382.88
  6. Step 6: Final answer
    x = 79,756.31

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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.