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Finding the Fourth Proportional to 375,422.64, 518,091.57 and 214,274.36

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Solution

The fourth proportional to 375,422.64, 518,091.57 and 214,274.36 is: 295,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,422.64 : 518,091.57 = 214,274.36 : x
  2. Step 2: Convert to fraction form
    375,422.64/518,091.57 = 214,274.36/x
  3. Step 3: Cross multiply
    375,422.64x = 518,091.57 × 214,274.36
  4. Step 4: Simplify right side
    375,422.64x = 111,013,736,992.69
  5. Step 5: Solve for x
    x = 111,013,736,992.69/375,422.64
  6. Step 6: Final answer
    x = 295,703.36

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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.