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Finding the Fourth Proportional to 384,453.44, 576,472.80 and 147,855.68

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Solution

The fourth proportional to 384,453.44, 576,472.80 and 147,855.68 is: 221,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,453.44 : 576,472.80 = 147,855.68 : x
  2. Step 2: Convert to fraction form
    384,453.44/576,472.80 = 147,855.68/x
  3. Step 3: Cross multiply
    384,453.44x = 576,472.80 × 147,855.68
  4. Step 4: Simplify right side
    384,453.44x = 85,234,777,845.50
  5. Step 5: Solve for x
    x = 85,234,777,845.50/384,453.44
  6. Step 6: Final answer
    x = 221,703.77

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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.