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Finding the Fourth Proportional to 384,424.89, 576,639.77 and 252,145.41

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Solution

The fourth proportional to 384,424.89, 576,639.77 and 252,145.41 is: 378,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,424.89 : 576,639.77 = 252,145.41 : x
  2. Step 2: Convert to fraction form
    384,424.89/576,639.77 = 252,145.41/x
  3. Step 3: Cross multiply
    384,424.89x = 576,639.77 × 252,145.41
  4. Step 4: Simplify right side
    384,424.89x = 145,397,069,968.23
  5. Step 5: Solve for x
    x = 145,397,069,968.23/384,424.89
  6. Step 6: Final answer
    x = 378,219.71

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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.