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Finding the Fourth Proportional to 461,434.27, 692,147.31 and 145,891.30

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Solution

The fourth proportional to 461,434.27, 692,147.31 and 145,891.30 is: 218,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,434.27 : 692,147.31 = 145,891.30 : x
  2. Step 2: Convert to fraction form
    461,434.27/692,147.31 = 145,891.30/x
  3. Step 3: Cross multiply
    461,434.27x = 692,147.31 × 145,891.30
  4. Step 4: Simplify right side
    461,434.27x = 100,978,270,847.40
  5. Step 5: Solve for x
    x = 100,978,270,847.40/461,434.27
  6. Step 6: Final answer
    x = 218,835.66

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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.