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Finding the Fourth Proportional to 270,960.65, 406,693.16 and 137,940.49

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Solution

The fourth proportional to 270,960.65, 406,693.16 and 137,940.49 is: 207,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,960.65 : 406,693.16 = 137,940.49 : x
  2. Step 2: Convert to fraction form
    270,960.65/406,693.16 = 137,940.49/x
  3. Step 3: Cross multiply
    270,960.65x = 406,693.16 × 137,940.49
  4. Step 4: Simplify right side
    270,960.65x = 56,099,453,080.35
  5. Step 5: Solve for x
    x = 56,099,453,080.35/270,960.65
  6. Step 6: Final answer
    x = 207,039.11

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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.