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Finding the Fourth Proportional to 307,857.98, 461,754.48 and 145,713.20

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Solution

The fourth proportional to 307,857.98, 461,754.48 and 145,713.20 is: 218,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,857.98 : 461,754.48 = 145,713.20 : x
  2. Step 2: Convert to fraction form
    307,857.98/461,754.48 = 145,713.20/x
  3. Step 3: Cross multiply
    307,857.98x = 461,754.48 × 145,713.20
  4. Step 4: Simplify right side
    307,857.98x = 67,283,722,895.14
  5. Step 5: Solve for x
    x = 67,283,722,895.14/307,857.98
  6. Step 6: Final answer
    x = 218,554.42

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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.