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Finding the Fourth Proportional to 309,979.82, 427,771.94 and 174,014.03

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Solution

The fourth proportional to 309,979.82, 427,771.94 and 174,014.03 is: 240,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,979.82 : 427,771.94 = 174,014.03 : x
  2. Step 2: Convert to fraction form
    309,979.82/427,771.94 = 174,014.03/x
  3. Step 3: Cross multiply
    309,979.82x = 427,771.94 × 174,014.03
  4. Step 4: Simplify right side
    309,979.82x = 74,438,316,191.39
  5. Step 5: Solve for x
    x = 74,438,316,191.39/309,979.82
  6. Step 6: Final answer
    x = 240,139.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.