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Finding the Fourth Proportional to 428,950.56, 591,952.47 and 237,963.96

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Solution

The fourth proportional to 428,950.56, 591,952.47 and 237,963.96 is: 328,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,950.56 : 591,952.47 = 237,963.96 : x
  2. Step 2: Convert to fraction form
    428,950.56/591,952.47 = 237,963.96/x
  3. Step 3: Cross multiply
    428,950.56x = 591,952.47 × 237,963.96
  4. Step 4: Simplify right side
    428,950.56x = 140,863,353,892.98
  5. Step 5: Solve for x
    x = 140,863,353,892.98/428,950.56
  6. Step 6: Final answer
    x = 328,390.65

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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.