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Finding the Fourth Proportional to 428,778.71, 591,704.21 and 235,188.98

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Solution

The fourth proportional to 428,778.71, 591,704.21 and 235,188.98 is: 324,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,778.71 : 591,704.21 = 235,188.98 : x
  2. Step 2: Convert to fraction form
    428,778.71/591,704.21 = 235,188.98/x
  3. Step 3: Cross multiply
    428,778.71x = 591,704.21 × 235,188.98
  4. Step 4: Simplify right side
    428,778.71x = 139,162,307,241.06
  5. Step 5: Solve for x
    x = 139,162,307,241.06/428,778.71
  6. Step 6: Final answer
    x = 324,555.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.