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Finding the Fourth Proportional to 375,154.73, 517,786.39 and 284,352.31

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Solution

The fourth proportional to 375,154.73, 517,786.39 and 284,352.31 is: 392,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,154.73 : 517,786.39 = 284,352.31 : x
  2. Step 2: Convert to fraction form
    375,154.73/517,786.39 = 284,352.31/x
  3. Step 3: Cross multiply
    375,154.73x = 517,786.39 × 284,352.31
  4. Step 4: Simplify right side
    375,154.73x = 147,233,756,083.06
  5. Step 5: Solve for x
    x = 147,233,756,083.06/375,154.73
  6. Step 6: Final answer
    x = 392,461.41

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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.