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Finding the Fourth Proportional to 310,757.52, 428,878.31 and 189,969.51

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Solution

The fourth proportional to 310,757.52, 428,878.31 and 189,969.51 is: 262,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,757.52 : 428,878.31 = 189,969.51 : x
  2. Step 2: Convert to fraction form
    310,757.52/428,878.31 = 189,969.51/x
  3. Step 3: Cross multiply
    310,757.52x = 428,878.31 × 189,969.51
  4. Step 4: Simplify right side
    310,757.52x = 81,473,801,450.48
  5. Step 5: Solve for x
    x = 81,473,801,450.48/310,757.52
  6. Step 6: Final answer
    x = 262,178.05

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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.