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Finding the Fourth Proportional to 428,950.31, 591,952.13 and 237,963.70

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Solution

The fourth proportional to 428,950.31, 591,952.13 and 237,963.70 is: 328,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,950.31 : 591,952.13 = 237,963.70 : x
  2. Step 2: Convert to fraction form
    428,950.31/591,952.13 = 237,963.70/x
  3. Step 3: Cross multiply
    428,950.31x = 591,952.13 × 237,963.70
  4. Step 4: Simplify right side
    428,950.31x = 140,863,119,077.68
  5. Step 5: Solve for x
    x = 140,863,119,077.68/428,950.31
  6. Step 6: Final answer
    x = 328,390.30

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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.