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Finding the Fourth Proportional to 384,178.80, 576,268.20 and 271,985.70

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Solution

The fourth proportional to 384,178.80, 576,268.20 and 271,985.70 is: 407,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,178.80 : 576,268.20 = 271,985.70 : x
  2. Step 2: Convert to fraction form
    384,178.80/576,268.20 = 271,985.70/x
  3. Step 3: Cross multiply
    384,178.80x = 576,268.20 × 271,985.70
  4. Step 4: Simplify right side
    384,178.80x = 156,736,709,764.74
  5. Step 5: Solve for x
    x = 156,736,709,764.74/384,178.80
  6. Step 6: Final answer
    x = 407,978.55

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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.