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Finding the Fourth Proportional to 384,753.70, 576,474.45 and 328,329.10

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Solution

The fourth proportional to 384,753.70, 576,474.45 and 328,329.10 is: 491,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,753.70 : 576,474.45 = 328,329.10 : x
  2. Step 2: Convert to fraction form
    384,753.70/576,474.45 = 328,329.10/x
  3. Step 3: Cross multiply
    384,753.70x = 576,474.45 × 328,329.10
  4. Step 4: Simplify right side
    384,753.70x = 189,273,337,341.50
  5. Step 5: Solve for x
    x = 189,273,337,341.50/384,753.70
  6. Step 6: Final answer
    x = 491,933.77

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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.