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Finding the Fourth Proportional to 384,017.10, 576,025.65 and 328,029.90

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Solution

The fourth proportional to 384,017.10, 576,025.65 and 328,029.90 is: 492,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,017.10 : 576,025.65 = 328,029.90 : x
  2. Step 2: Convert to fraction form
    384,017.10/576,025.65 = 328,029.90/x
  3. Step 3: Cross multiply
    384,017.10x = 576,025.65 × 328,029.90
  4. Step 4: Simplify right side
    384,017.10x = 188,953,636,366.94
  5. Step 5: Solve for x
    x = 188,953,636,366.94/384,017.10
  6. Step 6: Final answer
    x = 492,044.85

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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.