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Finding the Fourth Proportional to 428,950.81, 591,952.82 and 237,964.20

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Solution

The fourth proportional to 428,950.81, 591,952.82 and 237,964.20 is: 328,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,950.81 : 591,952.82 = 237,964.20 : x
  2. Step 2: Convert to fraction form
    428,950.81/591,952.82 = 237,964.20/x
  3. Step 3: Cross multiply
    428,950.81x = 591,952.82 × 237,964.20
  4. Step 4: Simplify right side
    428,950.81x = 140,863,579,249.04
  5. Step 5: Solve for x
    x = 140,863,579,249.04/428,950.81
  6. Step 6: Final answer
    x = 328,390.99

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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.