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Finding the Fourth Proportional to 374,911.88, 517,378.39 and 205,146

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Solution

The fourth proportional to 374,911.88, 517,378.39 and 205,146 is: 283,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,911.88 : 517,378.39 = 205,146 : x
  2. Step 2: Convert to fraction form
    374,911.88/517,378.39 = 205,146/x
  3. Step 3: Cross multiply
    374,911.88x = 517,378.39 × 205,146
  4. Step 4: Simplify right side
    374,911.88x = 106,138,106,682.08
  5. Step 5: Solve for x
    x = 106,138,106,682.08/374,911.88
  6. Step 6: Final answer
    x = 283,101.48

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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.