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Finding the Fourth Proportional to 428,489.75, 643,057.28 and 293,230.01

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Solution

The fourth proportional to 428,489.75, 643,057.28 and 293,230.01 is: 440,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,489.75 : 643,057.28 = 293,230.01 : x
  2. Step 2: Convert to fraction form
    428,489.75/643,057.28 = 293,230.01/x
  3. Step 3: Cross multiply
    428,489.75x = 643,057.28 × 293,230.01
  4. Step 4: Simplify right side
    428,489.75x = 188,563,692,644.97
  5. Step 5: Solve for x
    x = 188,563,692,644.97/428,489.75
  6. Step 6: Final answer
    x = 440,065.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.