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Finding the Fourth Proportional to 275,907.42, 413,651.34 and 142,702.86

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Solution

The fourth proportional to 275,907.42, 413,651.34 and 142,702.86 is: 213,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,907.42 : 413,651.34 = 142,702.86 : x
  2. Step 2: Convert to fraction form
    275,907.42/413,651.34 = 142,702.86/x
  3. Step 3: Cross multiply
    275,907.42x = 413,651.34 × 142,702.86
  4. Step 4: Simplify right side
    275,907.42x = 59,029,229,260.83
  5. Step 5: Solve for x
    x = 59,029,229,260.83/275,907.42
  6. Step 6: Final answer
    x = 213,945.78

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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.