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Finding the Fourth Proportional to 284,208, 426,580.11 and 209,099.40

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Solution

The fourth proportional to 284,208, 426,580.11 and 209,099.40 is: 313,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,208 : 426,580.11 = 209,099.40 : x
  2. Step 2: Convert to fraction form
    284,208/426,580.11 = 209,099.40/x
  3. Step 3: Cross multiply
    284,208x = 426,580.11 × 209,099.40
  4. Step 4: Simplify right side
    284,208x = 89,197,645,052.93
  5. Step 5: Solve for x
    x = 89,197,645,052.93/284,208
  6. Step 6: Final answer
    x = 313,846.36

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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.