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Finding the Fourth Proportional to 428,489.31, 643,056.62 and 293,229.57

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Solution

The fourth proportional to 428,489.31, 643,056.62 and 293,229.57 is: 440,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,489.31 : 643,056.62 = 293,229.57 : x
  2. Step 2: Convert to fraction form
    428,489.31/643,056.62 = 293,229.57/x
  3. Step 3: Cross multiply
    428,489.31x = 643,056.62 × 293,229.57
  4. Step 4: Simplify right side
    428,489.31x = 188,563,218,762.98
  5. Step 5: Solve for x
    x = 188,563,218,762.98/428,489.31
  6. Step 6: Final answer
    x = 440,065.16

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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.