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Finding the Fourth Proportional to 495,672.80, 743,091.24 and 214,978.64

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Solution

The fourth proportional to 495,672.80, 743,091.24 and 214,978.64 is: 322,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,672.80 : 743,091.24 = 214,978.64 : x
  2. Step 2: Convert to fraction form
    495,672.80/743,091.24 = 214,978.64/x
  3. Step 3: Cross multiply
    495,672.80x = 743,091.24 × 214,978.64
  4. Step 4: Simplify right side
    495,672.80x = 159,748,744,171.11
  5. Step 5: Solve for x
    x = 159,748,744,171.11/495,672.80
  6. Step 6: Final answer
    x = 322,286.69

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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.