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Finding the Fourth Proportional to 428,787.32, 643,121.40 and 300,314.48

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Solution

The fourth proportional to 428,787.32, 643,121.40 and 300,314.48 is: 450,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,787.32 : 643,121.40 = 300,314.48 : x
  2. Step 2: Convert to fraction form
    428,787.32/643,121.40 = 300,314.48/x
  3. Step 3: Cross multiply
    428,787.32x = 643,121.40 × 300,314.48
  4. Step 4: Simplify right side
    428,787.32x = 193,138,668,817.87
  5. Step 5: Solve for x
    x = 193,138,668,817.87/428,787.32
  6. Step 6: Final answer
    x = 450,429.99

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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.