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Finding the Fourth Proportional to 375,257.22, 517,807.53 and 298,969.80

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Solution

The fourth proportional to 375,257.22, 517,807.53 and 298,969.80 is: 412,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,257.22 : 517,807.53 = 298,969.80 : x
  2. Step 2: Convert to fraction form
    375,257.22/517,807.53 = 298,969.80/x
  3. Step 3: Cross multiply
    375,257.22x = 517,807.53 × 298,969.80
  4. Step 4: Simplify right side
    375,257.22x = 154,808,813,682.59
  5. Step 5: Solve for x
    x = 154,808,813,682.59/375,257.22
  6. Step 6: Final answer
    x = 412,540.53

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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.