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Finding the Fourth Proportional to 284,311.26, 425,541.01 and 209,401.90

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Solution

The fourth proportional to 284,311.26, 425,541.01 and 209,401.90 is: 313,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,311.26 : 425,541.01 = 209,401.90 : x
  2. Step 2: Convert to fraction form
    284,311.26/425,541.01 = 209,401.90/x
  3. Step 3: Cross multiply
    284,311.26x = 425,541.01 × 209,401.90
  4. Step 4: Simplify right side
    284,311.26x = 89,109,096,021.92
  5. Step 5: Solve for x
    x = 89,109,096,021.92/284,311.26
  6. Step 6: Final answer
    x = 313,420.92

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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.