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Finding the Fourth Proportional to 428,636.70, 642,712.05 and 162,405.90

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Solution

The fourth proportional to 428,636.70, 642,712.05 and 162,405.90 is: 243,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,636.70 : 642,712.05 = 162,405.90 : x
  2. Step 2: Convert to fraction form
    428,636.70/642,712.05 = 162,405.90/x
  3. Step 3: Cross multiply
    428,636.70x = 642,712.05 × 162,405.90
  4. Step 4: Simplify right side
    428,636.70x = 104,380,228,921.10
  5. Step 5: Solve for x
    x = 104,380,228,921.10/428,636.70
  6. Step 6: Final answer
    x = 243,516.78

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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.