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Finding the Fourth Proportional to 323,813.70, 485,720.55 and 205,715.70

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Solution

The fourth proportional to 323,813.70, 485,720.55 and 205,715.70 is: 308,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,813.70 : 485,720.55 = 205,715.70 : x
  2. Step 2: Convert to fraction form
    323,813.70/485,720.55 = 205,715.70/x
  3. Step 3: Cross multiply
    323,813.70x = 485,720.55 × 205,715.70
  4. Step 4: Simplify right side
    323,813.70x = 99,920,342,947.64
  5. Step 5: Solve for x
    x = 99,920,342,947.64/323,813.70
  6. Step 6: Final answer
    x = 308,573.55

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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.