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Finding the Fourth Proportional to 286,178.68, 394,944.96 and 165,325.08

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Solution

The fourth proportional to 286,178.68, 394,944.96 and 165,325.08 is: 228,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,178.68 : 394,944.96 = 165,325.08 : x
  2. Step 2: Convert to fraction form
    286,178.68/394,944.96 = 165,325.08/x
  3. Step 3: Cross multiply
    286,178.68x = 394,944.96 × 165,325.08
  4. Step 4: Simplify right side
    286,178.68x = 65,294,307,107.60
  5. Step 5: Solve for x
    x = 65,294,307,107.60/286,178.68
  6. Step 6: Final answer
    x = 228,159.23

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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.