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Finding the Fourth Proportional to 270,931.68, 406,647 and 137,907

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Solution

The fourth proportional to 270,931.68, 406,647 and 137,907 is: 206,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,931.68 : 406,647 = 137,907 : x
  2. Step 2: Convert to fraction form
    270,931.68/406,647 = 137,907/x
  3. Step 3: Cross multiply
    270,931.68x = 406,647 × 137,907
  4. Step 4: Simplify right side
    270,931.68x = 56,079,467,829
  5. Step 5: Solve for x
    x = 56,079,467,829/270,931.68
  6. Step 6: Final answer
    x = 206,987.49

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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.