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Finding the Fourth Proportional to 257,847.25, 386,770.34 and 145,476.46

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Solution

The fourth proportional to 257,847.25, 386,770.34 and 145,476.46 is: 218,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,847.25 : 386,770.34 = 145,476.46 : x
  2. Step 2: Convert to fraction form
    257,847.25/386,770.34 = 145,476.46/x
  3. Step 3: Cross multiply
    257,847.25x = 386,770.34 × 145,476.46
  4. Step 4: Simplify right side
    257,847.25x = 56,265,978,567.77
  5. Step 5: Solve for x
    x = 56,265,978,567.77/257,847.25
  6. Step 6: Final answer
    x = 218,214.38

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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.