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Finding the Fourth Proportional to 202,915.43, 304,414.67 and 69,778.40

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Solution

The fourth proportional to 202,915.43, 304,414.67 and 69,778.40 is: 104,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,915.43 : 304,414.67 = 69,778.40 : x
  2. Step 2: Convert to fraction form
    202,915.43/304,414.67 = 69,778.40/x
  3. Step 3: Cross multiply
    202,915.43x = 304,414.67 × 69,778.40
  4. Step 4: Simplify right side
    202,915.43x = 21,241,567,261.50
  5. Step 5: Solve for x
    x = 21,241,567,261.50/202,915.43
  6. Step 6: Final answer
    x = 104,681.87

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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.