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Finding the Fourth Proportional to 432,212.80, 648,703.20 and 254,497.60

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Solution

The fourth proportional to 432,212.80, 648,703.20 and 254,497.60 is: 381,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,212.80 : 648,703.20 = 254,497.60 : x
  2. Step 2: Convert to fraction form
    432,212.80/648,703.20 = 254,497.60/x
  3. Step 3: Cross multiply
    432,212.80x = 648,703.20 × 254,497.60
  4. Step 4: Simplify right side
    432,212.80x = 165,093,407,512.32
  5. Step 5: Solve for x
    x = 165,093,407,512.32/432,212.80
  6. Step 6: Final answer
    x = 381,972.51

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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.