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Finding the Fourth Proportional to 395,436.98, 545,702.21 and 214,148.36

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Solution

The fourth proportional to 395,436.98, 545,702.21 and 214,148.36 is: 295,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,436.98 : 545,702.21 = 214,148.36 : x
  2. Step 2: Convert to fraction form
    395,436.98/545,702.21 = 214,148.36/x
  3. Step 3: Cross multiply
    395,436.98x = 545,702.21 × 214,148.36
  4. Step 4: Simplify right side
    395,436.98x = 116,861,229,520.62
  5. Step 5: Solve for x
    x = 116,861,229,520.62/395,436.98
  6. Step 6: Final answer
    x = 295,524.28

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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.