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Finding the Fourth Proportional to 375,575.06, 518,293.82 and 205,809.19

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Solution

The fourth proportional to 375,575.06, 518,293.82 and 205,809.19 is: 284,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,575.06 : 518,293.82 = 205,809.19 : x
  2. Step 2: Convert to fraction form
    375,575.06/518,293.82 = 205,809.19/x
  3. Step 3: Cross multiply
    375,575.06x = 518,293.82 × 205,809.19
  4. Step 4: Simplify right side
    375,575.06x = 106,669,630,494.99
  5. Step 5: Solve for x
    x = 106,669,630,494.99/375,575.06
  6. Step 6: Final answer
    x = 284,016.81

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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.