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Finding the Fourth Proportional to 303,942.60, 455,257.80 and 197,654.40

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Solution

The fourth proportional to 303,942.60, 455,257.80 and 197,654.40 is: 296,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,942.60 : 455,257.80 = 197,654.40 : x
  2. Step 2: Convert to fraction form
    303,942.60/455,257.80 = 197,654.40/x
  3. Step 3: Cross multiply
    303,942.60x = 455,257.80 × 197,654.40
  4. Step 4: Simplify right side
    303,942.60x = 89,983,707,304.32
  5. Step 5: Solve for x
    x = 89,983,707,304.32/303,942.60
  6. Step 6: Final answer
    x = 296,054.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.