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Finding the Fourth Proportional to 374,856.85, 517,315.37 and 205,090.97

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Solution

The fourth proportional to 374,856.85, 517,315.37 and 205,090.97 is: 283,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,856.85 : 517,315.37 = 205,090.97 : x
  2. Step 2: Convert to fraction form
    374,856.85/517,315.37 = 205,090.97/x
  3. Step 3: Cross multiply
    374,856.85x = 517,315.37 × 205,090.97
  4. Step 4: Simplify right side
    374,856.85x = 106,096,711,029.21
  5. Step 5: Solve for x
    x = 106,096,711,029.21/374,856.85
  6. Step 6: Final answer
    x = 283,032.61

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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.