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Finding the Fourth Proportional to 433,148.22, 648,713.07 and 421,190.46

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Solution

The fourth proportional to 433,148.22, 648,713.07 and 421,190.46 is: 630,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,148.22 : 648,713.07 = 421,190.46 : x
  2. Step 2: Convert to fraction form
    433,148.22/648,713.07 = 421,190.46/x
  3. Step 3: Cross multiply
    433,148.22x = 648,713.07 × 421,190.46
  4. Step 4: Simplify right side
    433,148.22x = 273,231,756,361.31
  5. Step 5: Solve for x
    x = 273,231,756,361.31/433,148.22
  6. Step 6: Final answer
    x = 630,804.29

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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.