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Finding the Fourth Proportional to 432,769.20, 649,153.80 and 432,769.20

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Solution

The fourth proportional to 432,769.20, 649,153.80 and 432,769.20 is: 649,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,769.20 : 649,153.80 = 432,769.20 : x
  2. Step 2: Convert to fraction form
    432,769.20/649,153.80 = 432,769.20/x
  3. Step 3: Cross multiply
    432,769.20x = 649,153.80 × 432,769.20
  4. Step 4: Simplify right side
    432,769.20x = 280,933,770,702.96
  5. Step 5: Solve for x
    x = 280,933,770,702.96/432,769.20
  6. Step 6: Final answer
    x = 649,153.80

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1.5x scale

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.