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Finding the Fourth Proportional to 419,952.14, 579,548.54 and 238,671.72

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Solution

The fourth proportional to 419,952.14, 579,548.54 and 238,671.72 is: 329,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,952.14 : 579,548.54 = 238,671.72 : x
  2. Step 2: Convert to fraction form
    419,952.14/579,548.54 = 238,671.72/x
  3. Step 3: Cross multiply
    419,952.14x = 579,548.54 × 238,671.72
  4. Step 4: Simplify right side
    419,952.14x = 138,321,846,865.29
  5. Step 5: Solve for x
    x = 138,321,846,865.29/419,952.14
  6. Step 6: Final answer
    x = 329,375.26

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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.