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Finding the Fourth Proportional to 310,757.02, 428,877.62 and 189,969.01

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Solution

The fourth proportional to 310,757.02, 428,877.62 and 189,969.01 is: 262,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,757.02 : 428,877.62 = 189,969.01 : x
  2. Step 2: Convert to fraction form
    310,757.02/428,877.62 = 189,969.01/x
  3. Step 3: Cross multiply
    310,757.02x = 428,877.62 × 189,969.01
  4. Step 4: Simplify right side
    310,757.02x = 81,473,456,882.56
  5. Step 5: Solve for x
    x = 81,473,456,882.56/310,757.02
  6. Step 6: Final answer
    x = 262,177.37

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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.