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Finding the Fourth Proportional to 375,596.64, 518,373 and 214,415.28

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Solution

The fourth proportional to 375,596.64, 518,373 and 214,415.28 is: 295,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,596.64 : 518,373 = 214,415.28 : x
  2. Step 2: Convert to fraction form
    375,596.64/518,373 = 214,415.28/x
  3. Step 3: Cross multiply
    375,596.64x = 518,373 × 214,415.28
  4. Step 4: Simplify right side
    375,596.64x = 111,147,091,939.44
  5. Step 5: Solve for x
    x = 111,147,091,939.44/375,596.64
  6. Step 6: Final answer
    x = 295,921.42

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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.