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Finding the Fourth Proportional to 375,687.56, 518,457.84 and 205,931

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Solution

The fourth proportional to 375,687.56, 518,457.84 and 205,931 is: 284,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,687.56 : 518,457.84 = 205,931 : x
  2. Step 2: Convert to fraction form
    375,687.56/518,457.84 = 205,931/x
  3. Step 3: Cross multiply
    375,687.56x = 518,457.84 × 205,931
  4. Step 4: Simplify right side
    375,687.56x = 106,766,541,449.04
  5. Step 5: Solve for x
    x = 106,766,541,449.04/375,687.56
  6. Step 6: Final answer
    x = 284,189.72

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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.