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Finding the Fourth Proportional to 432,220.80, 648,622.80 and 254,539.20

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Solution

The fourth proportional to 432,220.80, 648,622.80 and 254,539.20 is: 381,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,220.80 : 648,622.80 = 254,539.20 : x
  2. Step 2: Convert to fraction form
    432,220.80/648,622.80 = 254,539.20/x
  3. Step 3: Cross multiply
    432,220.80x = 648,622.80 × 254,539.20
  4. Step 4: Simplify right side
    432,220.80x = 165,099,928,613.76
  5. Step 5: Solve for x
    x = 165,099,928,613.76/432,220.80
  6. Step 6: Final answer
    x = 381,980.53

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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.