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Finding the Fourth Proportional to 257,426.85, 386,023.64 and 167,380.77

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Solution

The fourth proportional to 257,426.85, 386,023.64 and 167,380.77 is: 250,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,426.85 : 386,023.64 = 167,380.77 : x
  2. Step 2: Convert to fraction form
    257,426.85/386,023.64 = 167,380.77/x
  3. Step 3: Cross multiply
    257,426.85x = 386,023.64 × 167,380.77
  4. Step 4: Simplify right side
    257,426.85x = 64,612,933,264.50
  5. Step 5: Solve for x
    x = 64,612,933,264.50/257,426.85
  6. Step 6: Final answer
    x = 250,995.31

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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.