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Finding the Fourth Proportional to 284,813.85, 426,847.06 and 209,581.73

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Solution

The fourth proportional to 284,813.85, 426,847.06 and 209,581.73 is: 314,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,813.85 : 426,847.06 = 209,581.73 : x
  2. Step 2: Convert to fraction form
    284,813.85/426,847.06 = 209,581.73/x
  3. Step 3: Cross multiply
    284,813.85x = 426,847.06 × 209,581.73
  4. Step 4: Simplify right side
    284,813.85x = 89,459,342,622.02
  5. Step 5: Solve for x
    x = 89,459,342,622.02/284,813.85
  6. Step 6: Final answer
    x = 314,097.59

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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.