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Finding the Fourth Proportional to 495,378.15, 742,832.97 and 191,914.44

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Solution

The fourth proportional to 495,378.15, 742,832.97 and 191,914.44 is: 287,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,378.15 : 742,832.97 = 191,914.44 : x
  2. Step 2: Convert to fraction form
    495,378.15/742,832.97 = 191,914.44/x
  3. Step 3: Cross multiply
    495,378.15x = 742,832.97 × 191,914.44
  4. Step 4: Simplify right side
    495,378.15x = 142,560,373,451.09
  5. Step 5: Solve for x
    x = 142,560,373,451.09/495,378.15
  6. Step 6: Final answer
    x = 287,780.91

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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.