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Finding the Fourth Proportional to 432,362.80, 648,928.20 and 254,647.60

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Solution

The fourth proportional to 432,362.80, 648,928.20 and 254,647.60 is: 382,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,362.80 : 648,928.20 = 254,647.60 : x
  2. Step 2: Convert to fraction form
    432,362.80/648,928.20 = 254,647.60/x
  3. Step 3: Cross multiply
    432,362.80x = 648,928.20 × 254,647.60
  4. Step 4: Simplify right side
    432,362.80x = 165,248,008,702.32
  5. Step 5: Solve for x
    x = 165,248,008,702.32/432,362.80
  6. Step 6: Final answer
    x = 382,197.56

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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.