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Finding the Fourth Proportional to 432,556.40, 649,490.70 and 332,829.20

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Solution

The fourth proportional to 432,556.40, 649,490.70 and 332,829.20 is: 499,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,556.40 : 649,490.70 = 332,829.20 : x
  2. Step 2: Convert to fraction form
    432,556.40/649,490.70 = 332,829.20/x
  3. Step 3: Cross multiply
    432,556.40x = 649,490.70 × 332,829.20
  4. Step 4: Simplify right side
    432,556.40x = 216,169,470,088.44
  5. Step 5: Solve for x
    x = 216,169,470,088.44/432,556.40
  6. Step 6: Final answer
    x = 499,748.63

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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.