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Finding the Fourth Proportional to 375,047.52, 517,570.40 and 205,278

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Solution

The fourth proportional to 375,047.52, 517,570.40 and 205,278 is: 283,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,047.52 : 517,570.40 = 205,278 : x
  2. Step 2: Convert to fraction form
    375,047.52/517,570.40 = 205,278/x
  3. Step 3: Cross multiply
    375,047.52x = 517,570.40 × 205,278
  4. Step 4: Simplify right side
    375,047.52x = 106,245,816,571.20
  5. Step 5: Solve for x
    x = 106,245,816,571.20/375,047.52
  6. Step 6: Final answer
    x = 283,286.28

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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.