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Finding the Fourth Proportional to 432,632.21, 648,043.13 and 347,934.56

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Solution

The fourth proportional to 432,632.21, 648,043.13 and 347,934.56 is: 521,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,632.21 : 648,043.13 = 347,934.56 : x
  2. Step 2: Convert to fraction form
    432,632.21/648,043.13 = 347,934.56/x
  3. Step 3: Cross multiply
    432,632.21x = 648,043.13 × 347,934.56
  4. Step 4: Simplify right side
    432,632.21x = 225,476,598,927.19
  5. Step 5: Solve for x
    x = 225,476,598,927.19/432,632.21
  6. Step 6: Final answer
    x = 521,173.87

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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.