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Finding the Fourth Proportional to 428,346.82, 591,103.74 and 237,377.98

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Solution

The fourth proportional to 428,346.82, 591,103.74 and 237,377.98 is: 327,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,346.82 : 591,103.74 = 237,377.98 : x
  2. Step 2: Convert to fraction form
    428,346.82/591,103.74 = 237,377.98/x
  3. Step 3: Cross multiply
    428,346.82x = 591,103.74 × 237,377.98
  4. Step 4: Simplify right side
    428,346.82x = 140,315,011,771.65
  5. Step 5: Solve for x
    x = 140,315,011,771.65/428,346.82
  6. Step 6: Final answer
    x = 327,573.37

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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.