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Finding the Fourth Proportional to 286,702.31, 395,659.33 and 157,650.57

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Solution

The fourth proportional to 286,702.31, 395,659.33 and 157,650.57 is: 217,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,702.31 : 395,659.33 = 157,650.57 : x
  2. Step 2: Convert to fraction form
    286,702.31/395,659.33 = 157,650.57/x
  3. Step 3: Cross multiply
    286,702.31x = 395,659.33 × 157,650.57
  4. Step 4: Simplify right side
    286,702.31x = 62,375,919,989.91
  5. Step 5: Solve for x
    x = 62,375,919,989.91/286,702.31
  6. Step 6: Final answer
    x = 217,563.37

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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.