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Finding the Fourth Proportional to 384,941.82, 577,375.50 and 118,630.80

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Solution

The fourth proportional to 384,941.82, 577,375.50 and 118,630.80 is: 177,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,941.82 : 577,375.50 = 118,630.80 : x
  2. Step 2: Convert to fraction form
    384,941.82/577,375.50 = 118,630.80/x
  3. Step 3: Cross multiply
    384,941.82x = 577,375.50 × 118,630.80
  4. Step 4: Simplify right side
    384,941.82x = 68,494,517,465.40
  5. Step 5: Solve for x
    x = 68,494,517,465.40/384,941.82
  6. Step 6: Final answer
    x = 177,934.73

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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.