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Finding the Fourth Proportional to 384,012.21, 576,517.29 and 295,328.55

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Solution

The fourth proportional to 384,012.21, 576,517.29 and 295,328.55 is: 443,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,012.21 : 576,517.29 = 295,328.55 : x
  2. Step 2: Convert to fraction form
    384,012.21/576,517.29 = 295,328.55/x
  3. Step 3: Cross multiply
    384,012.21x = 576,517.29 × 295,328.55
  4. Step 4: Simplify right side
    384,012.21x = 170,262,015,305.63
  5. Step 5: Solve for x
    x = 170,262,015,305.63/384,012.21
  6. Step 6: Final answer
    x = 443,376.57

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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.