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Finding the Fourth Proportional to 309,982.82, 427,776.08 and 174,017.02

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Solution

The fourth proportional to 309,982.82, 427,776.08 and 174,017.02 is: 240,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,982.82 : 427,776.08 = 174,017.02 : x
  2. Step 2: Convert to fraction form
    309,982.82/427,776.08 = 174,017.02/x
  3. Step 3: Cross multiply
    309,982.82x = 427,776.08 × 174,017.02
  4. Step 4: Simplify right side
    309,982.82x = 74,440,318,668.88
  5. Step 5: Solve for x
    x = 74,440,318,668.88/309,982.82
  6. Step 6: Final answer
    x = 240,143.37

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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.