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Finding the Fourth Proportional to 375,255.72, 517,805.46 and 298,968.30

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Solution

The fourth proportional to 375,255.72, 517,805.46 and 298,968.30 is: 412,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,255.72 : 517,805.46 = 298,968.30 : x
  2. Step 2: Convert to fraction form
    375,255.72/517,805.46 = 298,968.30/x
  3. Step 3: Cross multiply
    375,255.72x = 517,805.46 × 298,968.30
  4. Step 4: Simplify right side
    375,255.72x = 154,807,418,106.92
  5. Step 5: Solve for x
    x = 154,807,418,106.92/375,255.72
  6. Step 6: Final answer
    x = 412,538.46

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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.