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Finding the Fourth Proportional to 432,884.80, 649,327.20 and 354,152.80

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Solution

The fourth proportional to 432,884.80, 649,327.20 and 354,152.80 is: 531,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,884.80 : 649,327.20 = 354,152.80 : x
  2. Step 2: Convert to fraction form
    432,884.80/649,327.20 = 354,152.80/x
  3. Step 3: Cross multiply
    432,884.80x = 649,327.20 × 354,152.80
  4. Step 4: Simplify right side
    432,884.80x = 229,961,045,996.16
  5. Step 5: Solve for x
    x = 229,961,045,996.16/432,884.80
  6. Step 6: Final answer
    x = 531,229.20

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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.