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Finding the Fourth Proportional to 432,871.40, 649,288.64 and 422,734.66

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Solution

The fourth proportional to 432,871.40, 649,288.64 and 422,734.66 is: 634,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,871.40 : 649,288.64 = 422,734.66 : x
  2. Step 2: Convert to fraction form
    432,871.40/649,288.64 = 422,734.66/x
  3. Step 3: Cross multiply
    432,871.40x = 649,288.64 × 422,734.66
  4. Step 4: Simplify right side
    432,871.40x = 274,476,811,905.88
  5. Step 5: Solve for x
    x = 274,476,811,905.88/432,871.40
  6. Step 6: Final answer
    x = 634,083.96

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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.