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Finding the Fourth Proportional to 428,661.36, 642,942.54 and 113,142.84

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Solution

The fourth proportional to 428,661.36, 642,942.54 and 113,142.84 is: 169,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,661.36 : 642,942.54 = 113,142.84 : x
  2. Step 2: Convert to fraction form
    428,661.36/642,942.54 = 113,142.84/x
  3. Step 3: Cross multiply
    428,661.36x = 642,942.54 × 113,142.84
  4. Step 4: Simplify right side
    428,661.36x = 72,744,344,932.41
  5. Step 5: Solve for x
    x = 72,744,344,932.41/428,661.36
  6. Step 6: Final answer
    x = 169,701.19

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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.