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Finding the Fourth Proportional to 270,971.22, 406,829.99 and 137,944.22

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Solution

The fourth proportional to 270,971.22, 406,829.99 and 137,944.22 is: 207,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,971.22 : 406,829.99 = 137,944.22 : x
  2. Step 2: Convert to fraction form
    270,971.22/406,829.99 = 137,944.22/x
  3. Step 3: Cross multiply
    270,971.22x = 406,829.99 × 137,944.22
  4. Step 4: Simplify right side
    270,971.22x = 56,119,843,953.87
  5. Step 5: Solve for x
    x = 56,119,843,953.87/270,971.22
  6. Step 6: Final answer
    x = 207,106.29

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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.