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Finding the Fourth Proportional to 492,720.12, 739,078.92 and 118,743.12

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Solution

The fourth proportional to 492,720.12, 739,078.92 and 118,743.12 is: 178,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,720.12 : 739,078.92 = 118,743.12 : x
  2. Step 2: Convert to fraction form
    492,720.12/739,078.92 = 118,743.12/x
  3. Step 3: Cross multiply
    492,720.12x = 739,078.92 × 118,743.12
  4. Step 4: Simplify right side
    492,720.12x = 87,760,536,887.03
  5. Step 5: Solve for x
    x = 87,760,536,887.03/492,720.12
  6. Step 6: Final answer
    x = 178,114.38

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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.