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Finding the Fourth Proportional to 291,374.88, 402,072.84 and 178,175.76

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Solution

The fourth proportional to 291,374.88, 402,072.84 and 178,175.76 is: 245,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,374.88 : 402,072.84 = 178,175.76 : x
  2. Step 2: Convert to fraction form
    291,374.88/402,072.84 = 178,175.76/x
  3. Step 3: Cross multiply
    291,374.88x = 402,072.84 × 178,175.76
  4. Step 4: Simplify right side
    291,374.88x = 71,639,633,842.36
  5. Step 5: Solve for x
    x = 71,639,633,842.36/291,374.88
  6. Step 6: Final answer
    x = 245,867.57

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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.