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Finding the Fourth Proportional to 428,817.52, 643,135.98 and 276,558.52

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Solution

The fourth proportional to 428,817.52, 643,135.98 and 276,558.52 is: 414,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,817.52 : 643,135.98 = 276,558.52 : x
  2. Step 2: Convert to fraction form
    428,817.52/643,135.98 = 276,558.52/x
  3. Step 3: Cross multiply
    428,817.52x = 643,135.98 × 276,558.52
  4. Step 4: Simplify right side
    428,817.52x = 177,864,734,787.55
  5. Step 5: Solve for x
    x = 177,864,734,787.55/428,817.52
  6. Step 6: Final answer
    x = 414,779.54

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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.