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Finding the Fourth Proportional to 307,915.81, 424,776.37 and 193,136.98

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Solution

The fourth proportional to 307,915.81, 424,776.37 and 193,136.98 is: 266,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,915.81 : 424,776.37 = 193,136.98 : x
  2. Step 2: Convert to fraction form
    307,915.81/424,776.37 = 193,136.98/x
  3. Step 3: Cross multiply
    307,915.81x = 424,776.37 × 193,136.98
  4. Step 4: Simplify right side
    307,915.81x = 82,040,025,277.16
  5. Step 5: Solve for x
    x = 82,040,025,277.16/307,915.81
  6. Step 6: Final answer
    x = 266,436.55

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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.