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Finding the Fourth Proportional to 286,374.86, 395,174.12 and 165,523.94

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Solution

The fourth proportional to 286,374.86, 395,174.12 and 165,523.94 is: 228,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,374.86 : 395,174.12 = 165,523.94 : x
  2. Step 2: Convert to fraction form
    286,374.86/395,174.12 = 165,523.94/x
  3. Step 3: Cross multiply
    286,374.86x = 395,174.12 × 165,523.94
  4. Step 4: Simplify right side
    286,374.86x = 65,410,774,524.94
  5. Step 5: Solve for x
    x = 65,410,774,524.94/286,374.86
  6. Step 6: Final answer
    x = 228,409.63

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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.