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Finding the Fourth Proportional to 375,257.97, 517,808.57 and 298,970.55

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Solution

The fourth proportional to 375,257.97, 517,808.57 and 298,970.55 is: 412,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,257.97 : 517,808.57 = 298,970.55 : x
  2. Step 2: Convert to fraction form
    375,257.97/517,808.57 = 298,970.55/x
  3. Step 3: Cross multiply
    375,257.97x = 517,808.57 × 298,970.55
  4. Step 4: Simplify right side
    375,257.97x = 154,809,511,472.76
  5. Step 5: Solve for x
    x = 154,809,511,472.76/375,257.97
  6. Step 6: Final answer
    x = 412,541.57

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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.