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Finding the Fourth Proportional to 278,768.63, 384,702.26 and 171,408.80

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Solution

The fourth proportional to 278,768.63, 384,702.26 and 171,408.80 is: 236,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,768.63 : 384,702.26 = 171,408.80 : x
  2. Step 2: Convert to fraction form
    278,768.63/384,702.26 = 171,408.80/x
  3. Step 3: Cross multiply
    278,768.63x = 384,702.26 × 171,408.80
  4. Step 4: Simplify right side
    278,768.63x = 65,941,352,848.60
  5. Step 5: Solve for x
    x = 65,941,352,848.60/278,768.63
  6. Step 6: Final answer
    x = 236,545.10

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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.