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Finding the Fourth Proportional to 301,454.30, 415,991.62 and 178,951.90

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Solution

The fourth proportional to 301,454.30, 415,991.62 and 178,951.90 is: 246,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,454.30 : 415,991.62 = 178,951.90 : x
  2. Step 2: Convert to fraction form
    301,454.30/415,991.62 = 178,951.90/x
  3. Step 3: Cross multiply
    301,454.30x = 415,991.62 × 178,951.90
  4. Step 4: Simplify right side
    301,454.30x = 74,442,490,783.08
  5. Step 5: Solve for x
    x = 74,442,490,783.08/301,454.30
  6. Step 6: Final answer
    x = 246,944.53

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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.