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Finding the Fourth Proportional to 276,386.78, 413,915.81 and 157,698.29

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Solution

The fourth proportional to 276,386.78, 413,915.81 and 157,698.29 is: 236,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,386.78 : 413,915.81 = 157,698.29 : x
  2. Step 2: Convert to fraction form
    276,386.78/413,915.81 = 157,698.29/x
  3. Step 3: Cross multiply
    276,386.78x = 413,915.81 × 157,698.29
  4. Step 4: Simplify right side
    276,386.78x = 65,273,815,687.26
  5. Step 5: Solve for x
    x = 65,273,815,687.26/276,386.78
  6. Step 6: Final answer
    x = 236,168.37

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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.