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Finding the Fourth Proportional to 432,100.80, 648,151.20 and 274,442.40

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Solution

The fourth proportional to 432,100.80, 648,151.20 and 274,442.40 is: 411,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,100.80 : 648,151.20 = 274,442.40 : x
  2. Step 2: Convert to fraction form
    432,100.80/648,151.20 = 274,442.40/x
  3. Step 3: Cross multiply
    432,100.80x = 648,151.20 × 274,442.40
  4. Step 4: Simplify right side
    432,100.80x = 177,880,170,890.88
  5. Step 5: Solve for x
    x = 177,880,170,890.88/432,100.80
  6. Step 6: Final answer
    x = 411,663.60

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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.