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Finding the Fourth Proportional to 201,680.10, 302,520.15 and 191,838.60

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Solution

The fourth proportional to 201,680.10, 302,520.15 and 191,838.60 is: 287,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,680.10 : 302,520.15 = 191,838.60 : x
  2. Step 2: Convert to fraction form
    201,680.10/302,520.15 = 191,838.60/x
  3. Step 3: Cross multiply
    201,680.10x = 302,520.15 × 191,838.60
  4. Step 4: Simplify right side
    201,680.10x = 58,035,042,047.79
  5. Step 5: Solve for x
    x = 58,035,042,047.79/201,680.10
  6. Step 6: Final answer
    x = 287,757.90

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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.