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Finding the Fourth Proportional to 270,961.04, 406,693.72 and 137,940.88

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Solution

The fourth proportional to 270,961.04, 406,693.72 and 137,940.88 is: 207,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,961.04 : 406,693.72 = 137,940.88 : x
  2. Step 2: Convert to fraction form
    270,961.04/406,693.72 = 137,940.88/x
  3. Step 3: Cross multiply
    270,961.04x = 406,693.72 × 137,940.88
  4. Step 4: Simplify right side
    270,961.04x = 56,099,689,627.27
  5. Step 5: Solve for x
    x = 56,099,689,627.27/270,961.04
  6. Step 6: Final answer
    x = 207,039.69

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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.