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Finding the Fourth Proportional to 428,405.90, 642,743.16 and 257,813.78

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Solution

The fourth proportional to 428,405.90, 642,743.16 and 257,813.78 is: 386,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,405.90 : 642,743.16 = 257,813.78 : x
  2. Step 2: Convert to fraction form
    428,405.90/642,743.16 = 257,813.78/x
  3. Step 3: Cross multiply
    428,405.90x = 642,743.16 × 257,813.78
  4. Step 4: Simplify right side
    428,405.90x = 165,708,043,648.75
  5. Step 5: Solve for x
    x = 165,708,043,648.75/428,405.90
  6. Step 6: Final answer
    x = 386,801.50

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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.