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Finding the Fourth Proportional to 368,945.60, 509,145.92 and 215,956

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Solution

The fourth proportional to 368,945.60, 509,145.92 and 215,956 is: 298,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,945.60 : 509,145.92 = 215,956 : x
  2. Step 2: Convert to fraction form
    368,945.60/509,145.92 = 215,956/x
  3. Step 3: Cross multiply
    368,945.60x = 509,145.92 × 215,956
  4. Step 4: Simplify right side
    368,945.60x = 109,953,116,299.52
  5. Step 5: Solve for x
    x = 109,953,116,299.52/368,945.60
  6. Step 6: Final answer
    x = 298,019.86

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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.