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Finding the Fourth Proportional to 307,711.50, 424,307.11 and 200,081.94

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Solution

The fourth proportional to 307,711.50, 424,307.11 and 200,081.94 is: 275,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,711.50 : 424,307.11 = 200,081.94 : x
  2. Step 2: Convert to fraction form
    307,711.50/424,307.11 = 200,081.94/x
  3. Step 3: Cross multiply
    307,711.50x = 424,307.11 × 200,081.94
  4. Step 4: Simplify right side
    307,711.50x = 84,896,189,724.59
  5. Step 5: Solve for x
    x = 84,896,189,724.59/307,711.50
  6. Step 6: Final answer
    x = 275,895.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.