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Finding the Fourth Proportional to 457,862.22, 686,891.61 and 154,286.37

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Solution

The fourth proportional to 457,862.22, 686,891.61 and 154,286.37 is: 231,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,862.22 : 686,891.61 = 154,286.37 : x
  2. Step 2: Convert to fraction form
    457,862.22/686,891.61 = 154,286.37/x
  3. Step 3: Cross multiply
    457,862.22x = 686,891.61 × 154,286.37
  4. Step 4: Simplify right side
    457,862.22x = 105,978,013,090.36
  5. Step 5: Solve for x
    x = 105,978,013,090.36/457,862.22
  6. Step 6: Final answer
    x = 231,462.67

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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.