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Finding the Fourth Proportional to 375,489, 518,174.82 and 205,727.04

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Solution

The fourth proportional to 375,489, 518,174.82 and 205,727.04 is: 283,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,489 : 518,174.82 = 205,727.04 : x
  2. Step 2: Convert to fraction form
    375,489/518,174.82 = 205,727.04/x
  3. Step 3: Cross multiply
    375,489x = 518,174.82 × 205,727.04
  4. Step 4: Simplify right side
    375,489x = 106,602,571,921.13
  5. Step 5: Solve for x
    x = 106,602,571,921.13/375,489
  6. Step 6: Final answer
    x = 283,903.32

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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.