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Finding the Fourth Proportional to 308,624.88, 425,780.64 and 193,836

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Solution

The fourth proportional to 308,624.88, 425,780.64 and 193,836 is: 267,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,624.88 : 425,780.64 = 193,836 : x
  2. Step 2: Convert to fraction form
    308,624.88/425,780.64 = 193,836/x
  3. Step 3: Cross multiply
    308,624.88x = 425,780.64 × 193,836
  4. Step 4: Simplify right side
    308,624.88x = 82,531,616,135.04
  5. Step 5: Solve for x
    x = 82,531,616,135.04/308,624.88
  6. Step 6: Final answer
    x = 267,417.25

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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.