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Finding the Fourth Proportional to 307,915.26, 424,898.82 and 171,938.58

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Solution

The fourth proportional to 307,915.26, 424,898.82 and 171,938.58 is: 237,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,915.26 : 424,898.82 = 171,938.58 : x
  2. Step 2: Convert to fraction form
    307,915.26/424,898.82 = 171,938.58/x
  3. Step 3: Cross multiply
    307,915.26x = 424,898.82 × 171,938.58
  4. Step 4: Simplify right side
    307,915.26x = 73,056,499,754.48
  5. Step 5: Solve for x
    x = 73,056,499,754.48/307,915.26
  6. Step 6: Final answer
    x = 237,261.71

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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.