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Finding the Fourth Proportional to 432,814.20, 649,221.30 and 432,814.20

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Solution

The fourth proportional to 432,814.20, 649,221.30 and 432,814.20 is: 649,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,814.20 : 649,221.30 = 432,814.20 : x
  2. Step 2: Convert to fraction form
    432,814.20/649,221.30 = 432,814.20/x
  3. Step 3: Cross multiply
    432,814.20x = 649,221.30 × 432,814.20
  4. Step 4: Simplify right side
    432,814.20x = 280,992,197,582.46
  5. Step 5: Solve for x
    x = 280,992,197,582.46/432,814.20
  6. Step 6: Final answer
    x = 649,221.30

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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.