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Finding the Fourth Proportional to 375,606.72, 518,335.20 and 205,835.04

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Solution

The fourth proportional to 375,606.72, 518,335.20 and 205,835.04 is: 284,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,606.72 : 518,335.20 = 205,835.04 : x
  2. Step 2: Convert to fraction form
    375,606.72/518,335.20 = 205,835.04/x
  3. Step 3: Cross multiply
    375,606.72x = 518,335.20 × 205,835.04
  4. Step 4: Simplify right side
    375,606.72x = 106,691,546,625.41
  5. Step 5: Solve for x
    x = 106,691,546,625.41/375,606.72
  6. Step 6: Final answer
    x = 284,051.22

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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.