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Finding the Fourth Proportional to 428,064.57, 642,096.86 and 112,520.97

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Solution

The fourth proportional to 428,064.57, 642,096.86 and 112,520.97 is: 168,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,064.57 : 642,096.86 = 112,520.97 : x
  2. Step 2: Convert to fraction form
    428,064.57/642,096.86 = 112,520.97/x
  3. Step 3: Cross multiply
    428,064.57x = 642,096.86 × 112,520.97
  4. Step 4: Simplify right side
    428,064.57x = 72,249,360,958.55
  5. Step 5: Solve for x
    x = 72,249,360,958.55/428,064.57
  6. Step 6: Final answer
    x = 168,781.46

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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.