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Finding the Fourth Proportional to 492,270.12, 738,405.10 and 118,293.12

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Solution

The fourth proportional to 492,270.12, 738,405.10 and 118,293.12 is: 177,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,270.12 : 738,405.10 = 118,293.12 : x
  2. Step 2: Convert to fraction form
    492,270.12/738,405.10 = 118,293.12/x
  3. Step 3: Cross multiply
    492,270.12x = 738,405.10 × 118,293.12
  4. Step 4: Simplify right side
    492,270.12x = 87,348,243,102.91
  5. Step 5: Solve for x
    x = 87,348,243,102.91/492,270.12
  6. Step 6: Final answer
    x = 177,439.66

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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.